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12996574707150 = 23252181853718691
BaseRepresentation
bin1011110100100000000000…
…1101111111110111001110
31201000110102122012121211100
42331020000031333313032
53200413441111112100
643350313300403530
72510654144162016
oct275100015776716
951013378177740
1012996574707150
1141608a8669561
12155a9a66a65a6
13733758148008
1432d075152c46
1517810dad5400
hexbd20037fdce

12996574707150 has 144 divisors (see below), whose sum is σ = 35116369627248. Its totient is φ = 3446017344000.

The previous prime is 12996574707143. The next prime is 12996574707199. The reversal of 12996574707150 is 5170747569921.

12996574707150 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 6 + 5 + 7 + 470 + 7 + 150 = 666.

It is a super-2 number, since 2×129965747071502 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 695329305 + ... + 695347995.

It is an arithmetic number, because the mean of its divisors is an integer number (243863677967).

Almost surely, 212996574707150 is an apocalyptic number.

12996574707150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12996574707150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17558184813624).

12996574707150 is an abundant number, since it is smaller than the sum of its proper divisors (22119794920098).

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

12996574707150 is a wasteful number, since it uses less digits than its factorization.

12996574707150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27427 (or 27419 counting only the distinct ones).

The product of its (nonzero) digits is 33339600, while the sum is 63.

The spelling of 12996574707150 in words is "twelve trillion, nine hundred ninety-six billion, five hundred seventy-four million, seven hundred seven thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 181 225 362 450 543 905 1086 1629 1810 2715 3258 4525 5430 8145 8537 9050 13575 16290 17074 18691 25611 27150 37382 40725 42685 51222 56073 76833 81450 85370 93455 112146 128055 153666 168219 186910 213425 256110 280365 336438 384165 426850 467275 560730 640275 768330 841095 934550 1280550 1401825 1545197 1682190 1920825 2803650 3090394 3383071 3841650 4205475 4635591 6766142 7725985 8410950 9271182 10149213 13906773 15451970 16915355 20298426 23177955 27813546 30447639 33830710 38629925 46355910 50746065 60895278 69533865 77259850 84576775 101492130 115889775 139067730 152238195 159565067 169153550 231779550 253730325 304476390 319130134 347669325 478695201 507460650 695338650 761190975 797825335 957390402 1436085603 1522381950 1595650670 2393476005 2872171206 3989126675 4786952010 7180428015 7978253350 11967380025 14360856030 23934760050 28881277127 35902140075 57762554254 71804280150 86643831381 144406385635 173287662762 259931494143 288812771270 433219156905 519862988286 722031928175 866438313810 1299657470715 1444063856350 2166095784525 2599314941430 4332191569050 6498287353575 12996574707150