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2152713683904 = 26374337249337
BaseRepresentation
bin11111010100110111101…
…111000000001111000000
321121210112022120210022220
4133110313233000033000
5240232224200341104
64324535405131040
7311346152254140
oct37246757001700
97553468523286
102152713683904
1175aa62831903
122a9263559a80
131280000ab844
14762987d6920
153aee4e467d9
hex1f537bc03c0

2152713683904 has 112 divisors (see below), whose sum is σ = 6660777623808. Its totient is φ = 600757291008.

The previous prime is 2152713683903. The next prime is 2152713683909. The reversal of 2152713683904 is 4093863172512.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152713683903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18566877 + ... + 18682460.

It is an arithmetic number, because the mean of its divisors is an integer number (59471228784).

It is a 1-persistent number, because it is pandigital, but 2⋅2152713683904 = 4305427367808 is not.

Almost surely, 22152713683904 is an apocalyptic number.

2152713683904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2152713683904 is an abundant number, since it is smaller than the sum of its proper divisors (4508063939904).

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

2152713683904 is a wasteful number, since it uses less digits than its factorization.

2152713683904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37249402 (or 37249392 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 2152713683904 in words is "two trillion, one hundred fifty-two billion, seven hundred thirteen million, six hundred eighty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 129 168 172 192 224 258 301 336 344 448 516 602 672 688 903 1032 1204 1344 1376 1806 2064 2408 2752 3612 4128 4816 7224 8256 9632 14448 19264 28896 57792 37249337 74498674 111748011 148997348 223496022 260745359 297994696 446992044 521490718 595989392 782236077 893984088 1042981436 1191978784 1564472154 1601721491 1787968176 2085962872 2383957568 3128944308 3203442982 3575936352 4171925744 4805164473 6257888616 6406885964 7151872704 8343851488 9610328946 11212050437 12515777232 12813771928 16687702976 19220657892 22424100874 25031554464 25627543856 33636151311 38441315784 44848201748 50063108928 51255087712 67272302622 76882631568 89696403496 102510175424 134544605244 153765263136 179392806992 269089210488 307530526272 358785613984 538178420976 717571227968 1076356841952 2152713683904