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968133957 = 3773631529
BaseRepresentation
bin111001101101001…
…000110101000101
32111110201022010020
4321231020311011
53440320241312
6240022245353
732664000660
oct7155106505
92443638106
10968133957
1145753940a
12230286859
13125760a3b
14928146d7
1559ed978c
hex39b48d45

968133957 has 16 divisors (see below), whose sum is σ = 1495463040. Its totient is φ = 545640192.

The previous prime is 968133953. The next prime is 968133979. The reversal of 968133957 is 759331869.

968133957 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 968133957 - 22 = 968133953 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968133953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314232 + ... + 317297.

It is an arithmetic number, because the mean of its divisors is an integer number (93466440).

Almost surely, 2968133957 is an apocalyptic number.

It is an amenable number.

968133957 is a deficient number, since it is larger than the sum of its proper divisors (527329083).

968133957 is a wasteful number, since it uses less digits than its factorization.

968133957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631612.

The product of its digits is 1224720, while the sum is 51.

The square root of 968133957 is about 31114.8510682600. The cubic root of 968133957 is about 989.2631176081.

The spelling of 968133957 in words is "nine hundred sixty-eight million, one hundred thirty-three thousand, nine hundred fifty-seven".

Divisors: 1 3 7 21 73 219 511 1533 631529 1894587 4420703 13262109 46101617 138304851 322711319 968133957