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23152665601 = 1341173257977
BaseRepresentation
bin10101100100000000…
…011010010000000001
32012202112211021102101
4111210000122100001
5334404040244401
614345225550401
71446513260542
oct254400322001
965675737371
1023152665601
11990109238a
1245a1945401
13224c8b2440
141198cac4c9
15907919101
hex56401a401

23152665601 has 32 divisors (see below), whose sum is σ = 25815773088. Its totient is φ = 20628111360.

The previous prime is 23152665581. The next prime is 23152665607. The reversal of 23152665601 is 10656625132.

It is a Cunningham number, because it is equal to 1521602+1.

It can be written as a sum of positive squares in 16 ways, for example, as 28901376 + 23123764225 = 5376^2 + 152065^2 .

It is a cyclic number.

It is not a de Polignac number, because 23152665601 - 217 = 23152534529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23152665607) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23697225 + ... + 23698201.

It is an arithmetic number, because the mean of its divisors is an integer number (806742909).

Almost surely, 223152665601 is an apocalyptic number.

It is an amenable number.

23152665601 is a deficient number, since it is larger than the sum of its proper divisors (2663107487).

23152665601 is a wasteful number, since it uses less digits than its factorization.

23152665601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461.

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 23152665601 in words is "twenty-three billion, one hundred fifty-two million, six hundred sixty-five thousand, six hundred one".

Divisors: 1 13 41 173 257 533 977 2249 3341 7093 10537 12701 40057 44461 92209 136981 169021 251089 520741 577993 1822901 2197273 3264157 6929861 10294649 23697713 43438397 90088193 133830437 564699161 1780974277 23152665601