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10297336320 = 29325446933
BaseRepresentation
bin10011001011100010…
…01110001000000000
3222120122020212212200
421211301032020000
5132042104230240
64421443353200
7513114625455
oct114561161000
928518225780
1010297336320
11440463a207
121bb4682800
13c81494a1b
146d984182c
15404042930
hex265c4e200

10297336320 has 120 divisors (see below), whose sum is σ = 35662651596. Its totient is φ = 2745950208.

The previous prime is 10297336303. The next prime is 10297336331. The reversal of 10297336320 is 2363379201.

10297336320 is a `hidden beast` number, since 1 + 0 + 297 + 3 + 363 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8484620544 + 1812715776 = 92112^2 + 42576^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×102973363202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200427 + ... + 246506.

Almost surely, 210297336320 is an apocalyptic number.

10297336320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10297336320 is an abundant number, since it is smaller than the sum of its proper divisors (25365315276).

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

10297336320 is an equidigital number, since it uses as much as digits as its factorization.

10297336320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446962 (or 446943 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 10297336320 in words is "ten billion, two hundred ninety-seven million, three hundred thirty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 446933 893866 1340799 1787732 2234665 2681598 3575464 4022397 4469330 5363196 6703995 7150928 8044794 8938660 10726392 13407990 14301856 16089588 17877320 20111985 21452784 26815980 28603712 32179176 35754640 40223970 42905568 53631960 57207424 64358352 71509280 80447940 85811136 107263920 114414848 128716704 143018560 160895880 171622272 214527840 228829696 257433408 286037120 321791760 343244544 429055680 514866816 572074240 643583520 686489088 858111360 1029733632 1144148480 1287167040 1716222720 2059467264 2574334080 3432445440 5148668160 10297336320