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15150165961 = 717312137967
BaseRepresentation
bin11100001110000010…
…10010111111001001
31110002211201011122211
432013001102333021
5222011420302321
610543200345121
71044302200030
oct160701227711
943084634584
1015150165961
116474967a17
122b299151a1
1315759a5658
14a3a153717
155da0c80e1
hex387052fc9

15150165961 has 48 divisors (see below), whose sum is σ = 19101443328. Its totient is φ = 11729249280.

The previous prime is 15150165923. The next prime is 15150165967. The reversal of 15150165961 is 16956105151.

15150165961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 15150165961 - 221 = 15148068809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15150165967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15666700 + ... + 15667666.

It is an arithmetic number, because the mean of its divisors is an integer number (397946736).

Almost surely, 215150165961 is an apocalyptic number.

It is an amenable number.

15150165961 is a deficient number, since it is larger than the sum of its proper divisors (3951277367).

15150165961 is a wasteful number, since it uses less digits than its factorization.

15150165961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 40.

The spelling of 15150165961 in words is "fifteen billion, one hundred fifty million, one hundred sixty-five thousand, nine hundred sixty-one".

Divisors: 1 7 17 31 119 137 217 527 959 961 967 2329 3689 4247 6727 6769 16303 16337 16439 29729 29977 72199 114359 115073 131657 132479 209839 505393 509609 921599 927353 929287 2238169 2252143 3567263 4106849 6505009 15667183 15765001 15797879 28747943 69816433 110585153 127312319 488715031 891186233 2164309423 15150165961