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11787188114388 = 22323891393452203
BaseRepresentation
bin1010101110000110101100…
…1010010001001111010100
31112201211210101222012021010
42223201223022101033110
53021110130124130023
641022543124452220
72324411336563221
oct253415312211724
945654711865233
1011787188114388
113834a11443395
1213a452954a070
136766b0c8410b
142ca70813c948
15156929d07093
hexab86b2913d4

11787188114388 has 96 divisors (see below), whose sum is σ = 29230501708800. Its totient is φ = 3689271615744.

The previous prime is 11787188114321. The next prime is 11787188114431. The reversal of 11787188114388 is 88341188178711.

It is a super-2 number, since 2×117871881143882 (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 31 ways as a sum of consecutive naturals, for example, 1688295 + ... + 5140497.

It is an arithmetic number, because the mean of its divisors is an integer number (304484392800).

Almost surely, 211787188114388 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11787188114388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14615250854400).

11787188114388 is an abundant number, since it is smaller than the sum of its proper divisors (17443313594412).

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

11787188114388 is a wasteful number, since it uses less digits than its factorization.

11787188114388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452461 (or 3452459 counting only the distinct ones).

The product of its digits is 19267584, while the sum is 66.

The spelling of 11787188114388 in words is "eleven trillion, seven hundred eighty-seven billion, one hundred eighty-eight million, one hundred fourteen thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 89 92 138 139 178 267 276 278 356 417 534 556 834 1068 1668 2047 3197 4094 6141 6394 8188 9591 12282 12371 12788 19182 24564 24742 37113 38364 49484 74226 148452 284533 569066 853599 1138132 1707198 3414396 3452203 6904406 10356609 13808812 20713218 41426436 79400669 158801338 238202007 307246067 317602676 476404014 479856217 614492134 921738201 952808028 959712434 1228984268 1439568651 1843476402 1919424868 2879137302 3686952804 5758274604 7066659541 11036692991 14133319082 21199978623 22073385982 28266638164 33110078973 42399957246 42707203313 44146771964 66220157946 84799914492 85414406626 128121609939 132440315892 170828813252 256243219878 512486439756 982265676199 1964531352398 2946797028597 3929062704796 5893594057194 11787188114388