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6464769696 = 2532711291521
BaseRepresentation
bin1100000010101010…
…01000111010100000
3121200112121022211200
412001111020322200
5101214440112241
62545254241200
7316126431030
oct60125107240
917615538750
106464769696
112818215180
121305056200
137c0467318
144548338c0
1527c8424b6
hex181548ea0

6464769696 has 144 divisors (see below), whose sum is σ = 22920625728. Its totient is φ = 1679155200.

The previous prime is 6464769637. The next prime is 6464769713. The reversal of 6464769696 is 6969674646.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123585 + ... + 167936.

It is an arithmetic number, because the mean of its divisors is an integer number (159171012).

Almost surely, 26464769696 is an apocalyptic number.

6464769696 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6464769696 is an abundant number, since it is smaller than the sum of its proper divisors (16455856032).

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

6464769696 is a wasteful number, since it uses less digits than its factorization.

6464769696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291555 (or 291544 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 63.

The square root of 6464769696 is about 80403.7915523889. The cubic root of 6464769696 is about 1862.8777375136.

The spelling of 6464769696 in words is "six billion, four hundred sixty-four million, seven hundred sixty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2772 3168 3696 5544 7392 11088 22176 291521 583042 874563 1166084 1749126 2040647 2332168 2623689 3206731 3498252 4081294 4664336 5247378 6121941 6413462 6996504 8162588 9328672 9620193 10494756 12243882 12826924 13993008 16325176 18365823 19240386 20989512 22447117 24487764 25653848 27986016 28860579 32650352 36731646 38480772 41979024 44894234 48975528 51307696 57721158 65300704 67341351 73463292 76961544 83958048 89788468 97951056 102615392 115442316 134682702 146926584 153923088 179576936 195902112 202024053 230884632 269365404 293853168 307846176 359153872 404048106 461769264 538730808 587706336 718307744 808096212 923538528 1077461616 1616192424 2154923232 3232384848 6464769696