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10487078352 = 24321091634099
BaseRepresentation
bin10011100010001010…
…00001110111010000
31000001212021210000100
421301011001313100
5132434143001402
64452342252400
7520610460312
oct116105016720
930055253010
1010487078352
1144a1756203
122048127100
13cb1899c0a
14716b137b2
15415a2271c
hex271141dd0

10487078352 has 120 divisors (see below), whose sum is σ = 29807492000. Its totient is φ = 3441533184.

The previous prime is 10487078347. The next prime is 10487078353. The reversal of 10487078352 is 25387078401.

It is a junction number, because it is equal to n+sod(n) for n = 10487078298 and 10487078307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10487078353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2556399 + ... + 2560497.

Almost surely, 210487078352 is an apocalyptic number.

10487078352 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 10487078352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14903746000).

10487078352 is an abundant number, since it is smaller than the sum of its proper divisors (19320413648).

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

10487078352 is a wasteful number, since it uses less digits than its factorization.

10487078352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4385 (or 4376 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 10487078352 in words is "ten billion, four hundred eighty-seven million, seventy-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 109 144 163 218 326 327 436 489 652 654 872 978 981 1304 1308 1467 1744 1956 1962 2608 2616 2934 3912 3924 4099 5232 5868 7824 7848 8198 11736 12297 15696 16396 17767 23472 24594 32792 35534 36891 49188 53301 65584 71068 73782 98376 106602 142136 147564 159903 196752 213204 284272 295128 319806 426408 446791 590256 639612 668137 852816 893582 1279224 1336274 1340373 1787164 2004411 2558448 2672548 2680746 3574328 4008822 4021119 5345096 5361492 6013233 7148656 8017644 8042238 10690192 10722984 12026466 16035288 16084476 21445968 24052932 32070576 32168952 48105864 64337904 72826933 96211728 145653866 218480799 291307732 436961598 582615464 655442397 873923196 1165230928 1310884794 1747846392 2621769588 3495692784 5243539176 10487078352