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966541664 = 251117161521
BaseRepresentation
bin111001100111000…
…100000101100000
32111100201101220102
4321213010011200
53434413313124
6235524201532
732644316504
oct7147040540
92440641812
10966541664
11456651070
1222b8392a8
1312532405a
149251c304
1559cc2aae
hex399c4160

966541664 has 48 divisors (see below), whose sum is σ = 2197991376. Its totient is φ = 413491200.

The previous prime is 966541663. The next prime is 966541679. The reversal of 966541664 is 466145669.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966541663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74777 + ... + 86744.

It is an arithmetic number, because the mean of its divisors is an integer number (45791487).

Almost surely, 2966541664 is an apocalyptic number.

It is an amenable number.

966541664 is an abundant number, since it is smaller than the sum of its proper divisors (1231449712).

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

966541664 is a wasteful number, since it uses less digits than its factorization.

966541664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161559 (or 161551 counting only the distinct ones).

The product of its digits is 933120, while the sum is 47.

The square root of 966541664 is about 31089.2531914165. The cubic root of 966541664 is about 988.7204719363.

The spelling of 966541664 in words is "nine hundred sixty-six million, five hundred forty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 2992 5984 161521 323042 646084 1292168 1776731 2584336 2745857 3553462 5168672 5491714 7106924 10983428 14213848 21966856 28427696 30204427 43933712 56855392 60408854 87867424 120817708 241635416 483270832 966541664