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23715460104480 = 253453162719413
BaseRepresentation
bin1010110010001101011111…
…00100110100000100100000
310002222011202012010212020000
411121012233210310010200
511102023230241320410
6122234422034420000
74665246131564304
oct531065744640440
9102864665125200
1023715460104480
117613740a71761
1227b026b731600
131030487223891
145bdb9780bd04
152b1d60a7ddc0
hex1591af934120

23715460104480 has 480 divisors, whose sum is σ = 86418632982528. Its totient is φ = 6118492723200.

The previous prime is 23715460104409. The next prime is 23715460104491. The reversal of 23715460104480 is 8440106451732.

23715460104480 is a `hidden beast` number, since 2 + 3 + 7 + 1 + 5 + 4 + 60 + 104 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 2519432254 + ... + 2519441666.

Almost surely, 223715460104480 is an apocalyptic number.

23715460104480 is a gapful number since it is divisible by the number (20) 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 23715460104480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43209316491264).

23715460104480 is an abundant number, since it is smaller than the sum of its proper divisors (62703172878048).

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

23715460104480 is a wasteful number, since it uses less digits than its factorization.

23715460104480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15742 (or 15725 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 23715460104480 in words is "twenty-three trillion, seven hundred fifteen billion, four hundred sixty million, one hundred four thousand, four hundred eighty".