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968915521 = 76116313921
BaseRepresentation
bin111001110000000…
…111101001000001
32111112012000020001
4321300013221001
53441020244041
6240051120001
733003434410
oct7160075101
92445160201
10968915521
11457a22632
122305a3001
131259756c2
1492979477
155a0e1131
hex39c07a41

968915521 has 16 divisors (see below), whose sum is σ = 1132471168. Its totient is φ = 811814400.

The previous prime is 968915513. The next prime is 968915531. The reversal of 968915521 is 125519869.

It is a 2-Lehmer number, since φ(968915521) divides (968915521-1)2.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 968915521 - 23 = 968915513 is a prime.

It is a deceptive number, since it divides R968915520.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (968915531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62641 + ... + 76561.

It is an arithmetic number, because the mean of its divisors is an integer number (70779448).

It is a Poulet number, since it divides 2968915520-1.

Almost surely, 2968915521 is an apocalyptic number.

It is an amenable number.

968915521 is a deficient number, since it is larger than the sum of its proper divisors (163555647).

968915521 is a wasteful number, since it uses less digits than its factorization.

968915521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14152.

The product of its digits is 194400, while the sum is 46.

The square root of 968915521 is about 31127.4078747332. The cubic root of 968915521 is about 989.5292531186.

The spelling of 968915521 in words is "nine hundred sixty-eight million, nine hundred fifteen thousand, five hundred twenty-one".

Divisors: 1 7 61 163 427 1141 9943 13921 69601 97447 849181 2269123 5944267 15883861 138416503 968915521