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23345580113568 = 253281061042061
BaseRepresentation
bin1010100111011100100010…
…00000100111111010100000
310001122211000121200111010100
411103232101000213322200
511024443222002113233
6121352451134502400
74626443144541666
oct523562100477240
9101584017614110
1023345580113568
1174908943a0a59
122750643664a00
13100462baa872b
145a9d099b2c36
152a74135b7813
hex153b91027ea0

23345580113568 has 36 divisors (see below), whose sum is σ = 66388993448778. Its totient is φ = 7781860037760.

The previous prime is 23345580113543. The next prime is 23345580113591. The reversal of 23345580113568 is 86531108554332.

23345580113568 is a `hidden beast` number, since 2 + 3 + 3 + 4 + 5 + 580 + 1 + 1 + 3 + 56 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23344087991184 + 1492122384 = 4831572^2 + 38628^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×233455801135682 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40530520743 + ... + 40530521318.

Almost surely, 223345580113568 is an apocalyptic number.

It is an amenable number.

23345580113568 is an abundant number, since it is smaller than the sum of its proper divisors (43043413335210).

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

23345580113568 is a wasteful number, since it uses less digits than its factorization.

23345580113568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81061042077 (or 81061042066 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 23345580113568 in words is "twenty-three trillion, three hundred forty-five billion, five hundred eighty million, one hundred thirteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 81061042061 162122084122 243183126183 324244168244 486366252366 648488336488 729549378549 972732504732 1296976672976 1459098757098 1945465009464 2593953345952 2918197514196 3890930018928 5836395028392 7781860037856 11672790056784 23345580113568