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15106000928 = 25217272
BaseRepresentation
bin11100001000110001…
…10100100000100000
31102222202121100121212
432010120310200200
5221414114012203
610534542005252
71043224614014
oct160430644040
942882540555
1015106000928
116451a42097
122b16b76828
1315697b10b5
14a34338544
155d62a21d8
hex384634820

15106000928 has 18 divisors (see below), whose sum is σ = 29741308191. Its totient is φ = 7552652832.

The previous prime is 15106000919. The next prime is 15106000951. The reversal of 15106000928 is 82900060151.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 7553000464 + 7553000464 = 86908^2 + 86908^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=86908.

It is a super-2 number, since 2×151060009282 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 15106000894 and 15106000903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 684401 + ... + 706127.

Almost surely, 215106000928 is an apocalyptic number.

It is an amenable number.

15106000928 is a deficient number, since it is larger than the sum of its proper divisors (14635307263).

15106000928 is an frugal number, since it uses more digits than its factorization.

15106000928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43464 (or 21729 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

Multiplying 15106000928 by its sum of digits (32), we get a square (483392029696 = 6952642).

15106000928 divided by its sum of digits (32) gives a square (472062529 = 217272).

The spelling of 15106000928 in words is "fifteen billion, one hundred six million, nine hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 21727 43454 86908 173816 347632 695264 472062529 944125058 1888250116 3776500232 7553000464 15106000928