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10012680942 = 23112312495281
BaseRepresentation
bin10010101001100110…
…10110001011101110
3221211210121220002220
421110303112023232
5131001221242232
64333314300210
7503060245425
oct112463261356
927753556086
1010012680942
114278996430
121b35287666
13c3750a3a4
146adb042bc
153d906542c
hex254cd62ee

10012680942 has 64 divisors (see below), whose sum is σ = 22818240000. Its totient is φ = 2899353600.

The previous prime is 10012680929. The next prime is 10012680947. The reversal of 10012680942 is 24908621001.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012680947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1893342 + ... + 1898622.

It is an arithmetic number, because the mean of its divisors is an integer number (356535000).

Almost surely, 210012680942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10012680942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11409120000).

10012680942 is an abundant number, since it is smaller than the sum of its proper divisors (12805559058).

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

10012680942 is a wasteful number, since it uses less digits than its factorization.

10012680942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6569.

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 10012680942 in words is "ten billion, twelve million, six hundred eighty thousand, nine hundred forty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 759 1249 1518 2498 3747 5281 7494 10562 13739 15843 27478 28727 31686 41217 57454 58091 82434 86181 116182 121463 172362 174273 242926 315997 348546 364389 631994 728778 947991 1336093 1895982 2672186 4008279 6595969 8016558 13191938 19787907 39575814 72555659 145111318 151707287 217666977 303414574 435333954 455121861 910243722 1668780157 3337560314 5006340471 10012680942