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264332053453104 = 243271320171860001
BaseRepresentation
bin111100000110100010011010…
…001001100001100100110000
31021122220220020021212102200200
4330012202122021201210300
5234121304021140444404
62334104245143515200
7106451234462251440
oct7406423211414460
91248826207772620
10264332053453104
117725165a06302a
12257913a5a58b00
13b46553739aba0
14493ba4d858120
152085d3b305839
hexf0689a261930

264332053453104 has 120 divisors (see below), whose sum is σ = 910477073050272. Its totient is φ = 69713948160000.

The previous prime is 264332053453093. The next prime is 264332053453121. The reversal of 264332053453104 is 401354350233462.

264332053453104 is a `hidden beast` number, since 2 + 6 + 4 + 3 + 3 + 2 + 0 + 534 + 5 + 3 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 264332053453104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10085916897 + ... + 10085943104.

Almost surely, 2264332053453104 is an apocalyptic number.

264332053453104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

264332053453104 is an abundant number, since it is smaller than the sum of its proper divisors (646145019597168).

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

264332053453104 is a wasteful number, since it uses less digits than its factorization.

264332053453104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20171860035 (or 20171860026 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 45.

The spelling of 264332053453104 in words is "two hundred sixty-four trillion, three hundred thirty-two billion, fifty-three million, four hundred fifty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 20171860001 40343720002 60515580003 80687440004 121031160006 141203020007 161374880008 181546740009 242062320012 262234180013 282406040014 322749760016 363093480018 423609060021 484124640024 524468360026 564812080028 726186960036 786702540039 847218120042 968249280048 1048936720052 1129624160056 1270827180063 1452373920072 1573405080078 1694436240084 1835639260091 2097873440104 2259248320112 2360107620117 2541654360126 2904747840144 3146810160156 3388872480168 3671278520182 4195746880208 4720215240234 5083308720252 5506917780273 6293620320312 6777744960336 7342557040364 9440430480468 10166617440504 11013835560546 12587240640624 14685114080728 16520753340819 18880860960936 20333234881008 22027671121092 29370228161456 33041506681638 37761721921872 44055342242184 66083013363276 88110684484368 132166026726552 264332053453104