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15023650041 = 34136192
BaseRepresentation
bin11011111110111101…
…01011010011111001
31102210000122111110000
431333132223103321
5221232023300131
610522440543213
71041204626661
oct157736532371
942700574400
1015023650041
11640a505704
122ab3481b09
13155570996a
14a2741d1a1
155cde36ce6
hex37f7ab4f9

15023650041 has 15 divisors (see below), whose sum is σ = 22444384501. Its totient is φ = 10015031268.

The previous prime is 15023649983. The next prime is 15023650067. The reversal of 15023650041 is 14005632051.

The square root of 15023650041 is 122571.

It is a perfect power (a square), and thus also a powerful number.

15023650041 is a `hidden beast` number, since 1 + 5 + 0 + 2 + 3 + 650 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 15023650041 - 217 = 15023518969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 15023649987 and 15023650014.

It is not an unprimeable number, because it can be changed into a prime (15023657041) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1096330 + ... + 1109948.

Almost surely, 215023650041 is an apocalyptic number.

15023650041 is the 122571-st square number.

15023650041 is the 61286-th centered octagonal number.

It is an amenable number.

15023650041 is a deficient number, since it is larger than the sum of its proper divisors (7420734460).

15023650041 is an frugal number, since it uses more digits than its factorization.

15023650041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27250 (or 13622 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Multiplying 15023650041 by its product of nonzero digits (3600), we get a square (54085140147600 = 73542602).

The spelling of 15023650041 in words is "fifteen billion, twenty-three million, six hundred fifty thousand, forty-one".

Divisors: 1 3 9 27 81 13619 40857 122571 367713 1103139 185477161 556431483 1669294449 5007883347 15023650041