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11996578107612 = 223271791451183289
BaseRepresentation
bin1010111010010010101111…
…0001101101000011011100
31120110212021011011221220100
42232210223301231003130
53033022442443420422
641303052451021100
72345503250264610
oct256445361550334
946425234157810
1011996578107612
1139057a165646a
12141902589a790
136903707a01a7
142d68cd353340
1515c0d27e17ac
hexae92bc6d0dc

11996578107612 has 144 divisors (see below), whose sum is σ = 34874602963200. Its totient is φ = 3406077561600.

The previous prime is 11996578107581. The next prime is 11996578107617. The reversal of 11996578107612 is 21670187569911.

11996578107612 is a `hidden beast` number, since 1 + 1 + 9 + 9 + 6 + 5 + 7 + 8 + 1 + 0 + 7 + 612 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 11996578107612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11996578107617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65360064 + ... + 65543352.

It is an arithmetic number, because the mean of its divisors is an integer number (242184742800).

Almost surely, 211996578107612 is an apocalyptic number.

11996578107612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11996578107612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17437301481600).

11996578107612 is an abundant number, since it is smaller than the sum of its proper divisors (22878024855588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11996578107612 is a wasteful number, since it uses less digits than its factorization.

11996578107612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184936 (or 184931 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 63.

The spelling of 11996578107612 in words is "eleven trillion, nine hundred ninety-six billion, five hundred seventy-eight million, one hundred seven thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 179 252 358 537 716 1074 1253 1451 1611 2148 2506 2902 3222 3759 4353 5012 5804 6444 7518 8706 10157 11277 13059 15036 17412 20314 22554 26118 30471 40628 45108 52236 60942 91413 121884 182826 183289 259729 365652 366578 519458 549867 733156 779187 1038916 1099734 1283023 1558374 1649601 1818103 2199468 2337561 2566046 3116748 3299202 3636206 3849069 4675122 5132092 5454309 6598404 7272412 7698138 9350244 10908618 11547207 15396276 16362927 21817236 23094414 32725854 32808731 46188828 65451708 65617462 98426193 131234924 196852386 229661117 265952339 295278579 393704772 459322234 531904678 590557158 688983351 797857017 918644468 1063809356 1181114316 1377966702 1595714034 1861666373 2066950053 2393571051 2755933404 3191428068 3723332746 4133900106 4787142102 5584999119 7446665492 8267800212 9574284204 11169998238 16754997357 22339996476 33509994714 47605468681 67019989428 95210937362 142816406043 190421874724 285632812086 333238280767 428449218129 571265624172 666476561534 856898436258 999714842301 1332953123068 1713796872516 1999429684602 2999144526903 3998859369204 5998289053806 11996578107612