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23679343065120 = 2535139354906221
BaseRepresentation
bin1010110001001010001101…
…10101001111100000100000
310002211201112010120011100120
411120211012311033200200
511100430243311040440
6122210050125120240
74662530124036411
oct530450665174040
9102751463504316
1023679343065120
1175aa3979284a6
1227a52700b9080
131029c4c764582
145bc12cc09808
152b0e49deddd0
hex158946d4f820

23679343065120 has 96 divisors (see below), whose sum is σ = 75126549072960. Its totient is φ = 6269063470080.

The previous prime is 23679343065113. The next prime is 23679343065127. The reversal of 23679343065120 is 2156034397632.

It is an interprime number because it is at equal distance from previous prime (23679343065113) and next prime (23679343065127).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×236793430651202 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23679343065127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177386391 + ... + 177519830.

It is an arithmetic number, because the mean of its divisors is an integer number (782568219510).

Almost surely, 223679343065120 is an apocalyptic number.

23679343065120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23679343065120 is an abundant number, since it is smaller than the sum of its proper divisors (51447206007840).

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

23679343065120 is a wasteful number, since it uses less digits than its factorization.

23679343065120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354906378 (or 354906370 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 51.

The spelling of 23679343065120 in words is "twenty-three trillion, six hundred seventy-nine billion, three hundred forty-three million, sixty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 139 160 240 278 417 480 556 695 834 1112 1390 1668 2085 2224 2780 3336 4170 4448 5560 6672 8340 11120 13344 16680 22240 33360 66720 354906221 709812442 1064718663 1419624884 1774531105 2129437326 2839249768 3549062210 4258874652 5323593315 5678499536 7098124420 8517749304 10647186630 11356999072 14196248840 17035498608 21294373260 28392497680 34070997216 42588746520 49331964719 56784995360 85177493040 98663929438 147995894157 170354986080 197327858876 246659823595 295991788314 394655717752 493319647190 591983576628 739979470785 789311435504 986639294380 1183967153256 1479958941570 1578622871008 1973278588760 2367934306512 2959917883140 3946557177520 4735868613024 5919835766280 7893114355040 11839671532560 23679343065120