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968956149 = 37297692069
BaseRepresentation
bin111001110000010…
…001100011110101
32111112021001221210
4321300101203311
53441023044044
6240052032033
733003664020
oct7160214365
92445231853
10968956149
11457a50107
12230602619
1312598b045
149298a1b7
155a0ed1b9
hex39c118f5

968956149 has 32 divisors (see below), whose sum is σ = 1530144000. Its totient is φ = 533643264.

The previous prime is 968956127. The next prime is 968956151. The reversal of 968956149 is 941659869.

968956149 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 968956149 - 25 = 968956117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968956199) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 467287 + ... + 469355.

It is an arithmetic number, because the mean of its divisors is an integer number (47817000).

Almost surely, 2968956149 is an apocalyptic number.

It is an amenable number.

968956149 is a deficient number, since it is larger than the sum of its proper divisors (561187851).

968956149 is a wasteful number, since it uses less digits than its factorization.

968956149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877.

The product of its digits is 4199040, while the sum is 57.

The square root of 968956149 is about 31128.0604760399. The cubic root of 968956149 is about 989.5430837129.

The spelling of 968956149 in words is "nine hundred sixty-eight million, nine hundred fifty-six thousand, one hundred forty-nine".

Divisors: 1 3 7 21 29 87 203 609 769 2069 2307 5383 6207 14483 16149 22301 43449 60001 66903 156107 180003 420007 468321 1260021 1591061 4773183 11137427 33412281 46140769 138422307 322985383 968956149