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13950075968 = 261712821761
BaseRepresentation
bin11001111110111110…
…10100010001000000
31100000012112021200022
430333133110101000
5212032204412333
610224130313012
71002460455263
oct147737242100
940005467608
1013950075968
115a094aa604
122853a28768
13141417c22a
149649dccda
15569a70c98
hex33f7d4440

13950075968 has 28 divisors (see below), whose sum is σ = 29310547932. Its totient is φ = 6564741120.

The previous prime is 13950075947. The next prime is 13950075991. The reversal of 13950075968 is 86957005931.

13950075968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8235925504 + 5714150464 = 90752^2 + 75592^2 .

It is a super-2 number, since 2×139500759682 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 6409793 + ... + 6411968.

Almost surely, 213950075968 is an apocalyptic number.

It is an amenable number.

13950075968 is an abundant number, since it is smaller than the sum of its proper divisors (15360471964).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13950075968 is a wasteful number, since it uses less digits than its factorization.

13950075968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12821790 (or 12821780 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 53.

The spelling of 13950075968 in words is "thirteen billion, nine hundred fifty million, seventy-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 12821761 25643522 51287044 102574088 205148176 217969937 410296352 435939874 820592704 871879748 1743759496 3487518992 6975037984 13950075968