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6374744964 = 22327219012
BaseRepresentation
bin1011110111111011…
…01110001110000100
3121110021012121010100
411323331232032010
5101023413314324
62532320524100
7313654303200
oct57375561604
917407177110
106374744964
112781417275
12129aa80630
137a7907053
144468bbb00
152749ad4c9
hex17bf6e384

6374744964 has 81 divisors (see below), whose sum is σ = 18754651461. Its totient is φ = 1820397600.

The previous prime is 6374744953. The next prime is 6374744977. The reversal of 6374744964 is 4694474736.

The square root of 6374744964 is 79842.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 531671364 + 5843073600 = 23058^2 + 76440^2 .

It is a super-2 number, since 2×63747449642 = 81274746712086722592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6374744964.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3352414 + ... + 3354314.

Almost surely, 26374744964 is an apocalyptic number.

6374744964 is the 79842-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6374744964

6374744964 is an abundant number, since it is smaller than the sum of its proper divisors (12379906497).

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

6374744964 is a wasteful number, since it uses less digits than its factorization.

6374744964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826 (or 1913 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 54.

The cubic root of 6374744964 is about 1854.1901579479.

The spelling of 6374744964 in words is "six billion, three hundred seventy-four million, seven hundred forty-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 1901 3802 5703 7604 11406 13307 17109 22812 26614 34218 39921 53228 68436 79842 93149 119763 159684 186298 239526 279447 372596 479052 558894 838341 1117788 1676682 3353364 3613801 7227602 10841403 14455204 21682806 25296607 32524209 43365612 50593214 65048418 75889821 101186428 130096836 151779642 177076249 227669463 303559284 354152498 455338926 531228747 708304996 910677852 1062457494 1593686241 2124914988 3187372482 6374744964