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23613751982064 = 2434797611025413
BaseRepresentation
bin1010101111010000000010…
…10011000111011111110000
310002121110012222100220112010
411113220001103013133300
511043341431001411224
6122120001412402520
74655015534034126
oct527500123073760
9102543188326463
1023613751982064
117584599425a42
122794605916440
1310239c888281a
145b8ca998d916
152ae3ab8d8e29
hex157a014c77f0

23613751982064 has 40 divisors (see below), whose sum is σ = 61002379262032. Its totient is φ = 7871226577920.

The previous prime is 23613751982059. The next prime is 23613751982087. The reversal of 23613751982064 is 46028915731632.

It is a junction number, because it is equal to n+sod(n) for n = 23613751981995 and 23613751982013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22515822 + ... + 23541234.

It is a 2-persistent number, because it is pandigital, and so is 2⋅23613751982064 = 47227503964128, but 3⋅23613751982064 = 70841255946192 is not.

Almost surely, 223613751982064 is an apocalyptic number.

23613751982064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23613751982064 is an abundant number, since it is smaller than the sum of its proper divisors (37388627279968).

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

23613751982064 is a wasteful number, since it uses less digits than its factorization.

23613751982064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505185 (or 1505179 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 23613751982064 in words is "twenty-three trillion, six hundred thirteen billion, seven hundred fifty-one million, nine hundred eighty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 479761 959522 1025413 1439283 1919044 2050826 2878566 3076239 3838088 4101652 5757132 6152478 7676176 8203304 11514264 12304956 16406608 23028528 24609912 49219824 491953166293 983906332586 1475859498879 1967812665172 2951718997758 3935625330344 5903437995516 7871250660688 11806875991032 23613751982064