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10328802792 = 23371121126489
BaseRepresentation
bin10011001111010010…
…10000010111101000
3222122211110112202120
421213221100113220
5132123133142132
64424530031240
7513646242450
oct114751202750
928584415676
1010328802792
114420381460
122003118520
13c87b61339
146ddab2d60
15406bab02c
hex267a505e8

10328802792 has 128 divisors (see below), whose sum is σ = 32347468800. Its totient is φ = 2669990400.

The previous prime is 10328802773. The next prime is 10328802833. The reversal of 10328802792 is 29720882301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 376684 + ... + 403172.

It is an arithmetic number, because the mean of its divisors is an integer number (252714600).

Almost surely, 210328802792 is an apocalyptic number.

10328802792 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 10328802792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16173734400).

10328802792 is an abundant number, since it is smaller than the sum of its proper divisors (22018666008).

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

10328802792 is a wasteful number, since it uses less digits than its factorization.

10328802792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26727 (or 26723 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 10328802792 in words is "ten billion, three hundred twenty-eight million, eight hundred two thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 211 231 264 308 422 462 616 633 844 924 1266 1477 1688 1848 2321 2532 2954 4431 4642 5064 5908 6963 8862 9284 11816 13926 16247 17724 18568 26489 27852 32494 35448 48741 52978 55704 64988 79467 97482 105956 129976 158934 185423 194964 211912 291379 317868 370846 389928 556269 582758 635736 741692 874137 1112538 1165516 1483384 1748274 2039653 2225076 2331032 3496548 4079306 4450152 5589179 6118959 6993096 8158612 11178358 12237918 16317224 16767537 22356716 24475836 33535074 39124253 44713432 48951672 61480969 67070148 78248506 117372759 122961938 134140296 156497012 184442907 234745518 245923876 312994024 368885814 430366783 469491036 491847752 737771628 860733566 938982072 1291100349 1475543256 1721467132 2582200698 3442934264 5164401396 10328802792