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195956964 = 223272333809
BaseRepresentation
bin10111010111000…
…01000011100100
3111122201122102100
423223201003210
5400131110324
631240012100
74566415050
oct1353410344
9448648370
10195956964
11a0681405
1255761030
133179cc88
141c04cc60
151230b4c9
hexbae10e4

195956964 has 72 divisors (see below), whose sum is σ = 590728320. Its totient is φ = 53551872.

The previous prime is 195956963. The next prime is 195956989. The reversal of 195956964 is 469659591.

195956964 is a `hidden beast` number, since 19 + 5 + 9 + 569 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 195956964.

It is not an unprimeable number, because it can be changed into a prime (195956963) 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 23 ways as a sum of consecutive naturals, for example, 11109 + ... + 22700.

It is an arithmetic number, because the mean of its divisors is an integer number (8204560).

Almost surely, 2195956964 is an apocalyptic number.

195956964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

195956964 is an abundant number, since it is smaller than the sum of its proper divisors (394771356).

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

195956964 is a wasteful number, since it uses less digits than its factorization.

195956964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33849 (or 33844 counting only the distinct ones).

The product of its digits is 2624400, while the sum is 54.

The square root of 195956964 is about 13998.4629156204. The cubic root of 195956964 is about 580.8360554649.

The spelling of 195956964 in words is "one hundred ninety-five million, nine hundred fifty-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5796 33809 67618 101427 135236 202854 236663 304281 405708 473326 608562 709989 777607 946652 1217124 1419978 1555214 2129967 2332821 2839956 3110428 4259934 4665642 5443249 6998463 8519868 9331284 10886498 13996926 16329747 21772996 27993852 32659494 48989241 65318988 97978482 195956964