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20032523904 = 273417117921
BaseRepresentation
bin10010101010000010…
…000000111010000000
31220201002201122122210
4102222002000322000
5312011311231104
613111450302120
71306265433531
oct225202007200
956632648583
1020032523904
11854a923788
123a70a27940
131b73354653
14d80750688
157c3a42989
hex4aa080e80

20032523904 has 128 divisors (see below), whose sum is σ = 55280050560. Its totient is φ = 6422528000.

The previous prime is 20032523879. The next prime is 20032523957. The reversal of 20032523904 is 40932523002.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1108864 + ... + 1126784.

It is an arithmetic number, because the mean of its divisors is an integer number (431875395).

Almost surely, 220032523904 is an apocalyptic number.

20032523904 is a gapful number since it is divisible by the number (24) 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 20032523904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27640025280).

20032523904 is an abundant number, since it is smaller than the sum of its proper divisors (35247526656).

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

20032523904 is a wasteful number, since it uses less digits than its factorization.

20032523904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18050 (or 18038 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 20032523904 in words is "twenty billion, thirty-two million, five hundred twenty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 71 82 96 123 128 142 164 192 213 246 284 328 384 426 492 568 656 852 984 1136 1312 1704 1968 2272 2624 2911 3408 3936 4544 5248 5822 6816 7872 8733 9088 11644 13632 15744 17466 17921 23288 27264 34932 35842 46576 53763 69864 71684 93152 107526 139728 143368 186304 215052 279456 286736 372608 430104 558912 573472 734761 860208 1117824 1146944 1272391 1469522 1720416 2204283 2293888 2544782 2939044 3440832 3817173 4408566 5089564 5878088 6881664 7634346 8817132 10179128 11756176 15268692 17634264 20358256 23512352 30537384 35268528 40716512 47024704 52168031 61074768 70537056 81433024 94049408 104336062 122149536 141074112 156504093 162866048 208672124 244299072 282148224 313008186 417344248 488598144 626016372 834688496 1252032744 1669376992 2504065488 3338753984 5008130976 6677507968 10016261952 20032523904