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23653131461904 = 24371733001135593
BaseRepresentation
bin1010110000011001011000…
…11111111010010100010000
310002202012212101210202101110
411120030230133322110100
511100013103123240104
6122150033143333320
74660611435062220
oct530145437722420
9102665771722343
1023653131461904
11759a26708aaaa
1227a0175a51240
131027633203399
145bab63992080
152b0413b9ce89
hex15832c7fa510

23653131461904 has 160 divisors (see below), whose sum is σ = 70260636674304. Its totient is φ = 6716685312000.

The previous prime is 23653131461881. The next prime is 23653131462007. The reversal of 23653131461904 is 40916413135632.

It is a super-2 number, since 2×236531314619042 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 174374332 + ... + 174509924.

Almost surely, 223653131461904 is an apocalyptic number.

23653131461904 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 23653131461904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35130318337152).

23653131461904 is an abundant number, since it is smaller than the sum of its proper divisors (46607505212400).

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

23653131461904 is a wasteful number, since it uses less digits than its factorization.

23653131461904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138785 (or 138779 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 23653131461904 in words is "twenty-three trillion, six hundred fifty-three billion, one hundred thirty-one million, four hundred sixty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 173 336 346 519 692 1038 1211 1384 2076 2422 2768 3001 3633 4152 4844 6002 7266 8304 9003 9688 12004 14532 18006 19376 21007 24008 29064 36012 42014 48016 58128 63021 72024 84028 126042 135593 144048 168056 252084 271186 336112 406779 504168 519173 542372 813558 949151 1008336 1038346 1084744 1557519 1627116 1898302 2076692 2169488 2847453 3115038 3254232 3634211 3796604 4153384 5694906 6230076 6508464 7268422 7593208 8306768 10902633 11389812 12460152 14536844 15186416 21805266 22779624 23457589 24920304 29073688 43610532 45559248 46915178 58147376 70372767 87221064 93830356 140745534 164203123 174442128 187660712 281491068 328406246 375321424 406914593 492609369 562982136 656812492 813829186 985218738 1125964272 1220743779 1313624984 1627658372 1970437476 2441487558 2627249968 2848402151 3255316744 3940874952 4882975116 5696804302 6510633488 7881749904 8545206453 9765950232 11393608604 17090412906 19531900464 22787217208 34180825812 45574434416 68361651624 70396224589 136723303248 140792449178 211188673767 281584898356 422377347534 492773572123 563169796712 844754695068 985547144246 1126339593424 1478320716369 1689509390136 1971094288492 2956641432738 3379018780272 3942188576984 5913282865476 7884377153968 11826565730952 23653131461904