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10087254988692 = 22372108971157429
BaseRepresentation
bin1001001011001001111101…
…0000000001011110010100
31022201022222010212221100020
42102302133100001132110
52310232144234114232
633242004310145140
72060531403455400
oct222623720013624
938638863787306
1010087254988692
113239a87515522
12116ab893521b0
135822bb36454b
1426c32363c100
151275d52e7e2c
hex92c9f401794

10087254988692 has 72 divisors (see below), whose sum is σ = 27380117288160. Its totient is φ = 2882028098880.

The previous prime is 10087254988633. The next prime is 10087254988693. The reversal of 10087254988692 is 29688945278001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10087254988693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63996234 + ... + 64153662.

It is an arithmetic number, because the mean of its divisors is an integer number (380279406780).

Almost surely, 210087254988692 is an apocalyptic number.

10087254988692 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10087254988692 is an abundant number, since it is smaller than the sum of its proper divisors (17292862299468).

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

10087254988692 is a wasteful number, since it uses less digits than its factorization.

10087254988692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266421 (or 266412 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 69.

The spelling of 10087254988692 in words is "ten trillion, eighty-seven billion, two hundred fifty-four million, nine hundred eighty-eight thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 108971 157429 217942 314858 326913 435884 472287 629716 653826 762797 944574 1102003 1307652 1525594 1889148 2204006 2288391 3051188 3306009 4408012 4576782 5339579 6612018 7714021 9153564 10679158 13224036 15428042 16018737 21358316 23142063 30856084 32037474 46284126 64074948 92568252 17155195559 34310391118 51465586677 68620782236 102931173354 120086368913 205862346708 240172737826 360259106739 480345475652 720518213478 840604582391 1441036426956 1681209164782 2521813747173 3362418329564 5043627494346 10087254988692