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23215064506464 = 25317101913959683
BaseRepresentation
bin1010100011101001011011…
…01011000110000001100000
310001012100010202112200112010
411101310231223012001200
511020323423003201324
6121212504200232520
74614142640305635
oct521645553060140
9101170122480463
1023215064506464
1174404a9775656
12272b29a16b740
13cc522c14604c
145a3887c4c18c
152a3d25356829
hex151d2dac6060

23215064506464 has 96 divisors (see below), whose sum is σ = 64587549156480. Its totient is φ = 7276009613312.

The previous prime is 23215064506457. The next prime is 23215064506471. The reversal of 23215064506464 is 46460546051232.

It is an interprime number because it is at equal distance from previous prime (23215064506457) and next prime (23215064506471).

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

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

It is a congruent number.

It is an unprimeable number.

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, 5316834 + ... + 8642849.

It is an arithmetic number, because the mean of its divisors is an integer number (672786970380).

Almost surely, 223215064506464 is an apocalyptic number.

23215064506464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23215064506464 is an abundant number, since it is smaller than the sum of its proper divisors (41372484650016).

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

23215064506464 is a wasteful number, since it uses less digits than its factorization.

23215064506464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13960732 (or 13960724 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 23215064506464 in words is "twenty-three trillion, two hundred fifteen billion, sixty-four million, five hundred six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1019 1632 2038 3057 4076 6114 8152 12228 16304 17323 24456 32608 34646 48912 51969 69292 97824 103938 138584 207876 277168 415752 554336 831504 1663008 13959683 27919366 41879049 55838732 83758098 111677464 167516196 223354928 237314611 335032392 446709856 474629222 670064784 711943833 949258444 1340129568 1423887666 1898516888 2847775332 3797033776 5695550664 7594067552 11391101328 14224916977 22782202656 28449833954 42674750931 56899667908 85349501862 113799335816 170699003724 227598671632 241823588609 341398007448 455197343264 483647177218 682796014896 725470765827 967294354436 1365592029792 1450941531654 1934588708872 2901883063308 3869177417744 5803766126616 7738354835488 11607532253232 23215064506464