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23686252153 is a prime number
BaseRepresentation
bin10110000011110011…
…111000011001111001
32021010201212021120021
4112003303320121321
5342002140032103
614514210330441
71465652551504
oct260363703171
967121767507
1023686252153
11a0552a9903
124710589a21
1323062c6b25
141209ac813b
159396b8bbd
hex583cf8679

23686252153 has 2 divisors, whose sum is σ = 23686252154. Its totient is φ = 23686252152.

The previous prime is 23686252039. The next prime is 23686252157. The reversal of 23686252153 is 35125268632.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19850555664 + 3835696489 = 140892^2 + 61933^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23686252153 is a prime.

It is a super-2 number, since 2×236862521532 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (23686252157) by changing a digit.

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 as a sum of consecutive naturals, namely, 11843126076 + 11843126077.

It is an arithmetic number, because the mean of its divisors is an integer number (11843126077).

Almost surely, 223686252153 is an apocalyptic number.

It is an amenable number.

23686252153 is a deficient number, since it is larger than the sum of its proper divisors (1).

23686252153 is an equidigital number, since it uses as much as digits as its factorization.

23686252153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 518400, while the sum is 43.

The spelling of 23686252153 in words is "twenty-three billion, six hundred eighty-six million, two hundred fifty-two thousand, one hundred fifty-three".