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56071676505312 = 2533134992136441
BaseRepresentation
bin11001011111111001101000…
…10111000010110011100000
321100112101210112200112212000
430233330310113002303200
524322134243141132222
6315130550024404000
714545021262241456
oct1457746427026340
9240471715615760
1056071676505312
1116958956668896
126357097016600
1325396c863b9a0
14dbbc5293a9d6
156738464ba9ac
hex32ff345c2ce0

56071676505312 has 96 divisors (see below), whose sum is σ = 176122573673760. Its totient is φ = 17252823536640.

The previous prime is 56071676505301. The next prime is 56071676505329. The reversal of 56071676505312 is 21350567617065.

56071676505312 is a `hidden beast` number, since 5 + 6 + 0 + 71 + 67 + 6 + 505 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×560716765053122 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2496056989 + ... + 2496079452.

It is an arithmetic number, because the mean of its divisors is an integer number (1834610142435).

Almost surely, 256071676505312 is an apocalyptic number.

56071676505312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

56071676505312 is an abundant number, since it is smaller than the sum of its proper divisors (120050897168448).

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

56071676505312 is a wasteful number, since it uses less digits than its factorization.

56071676505312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4992136473 (or 4992136459 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 56071676505312 in words is "fifty-six trillion, seventy-one billion, six hundred seventy-six million, five hundred five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 4992136441 9984272882 14976409323 19968545764 29952818646 39937091528 44929227969 59905637292 64897773733 79874183056 89858455938 119811274584 129795547466 134787683907 159748366112 179716911876 194693321199 239622549168 259591094932 269575367814 359433823752 389386642398 479245098336 519182189864 539150735628 584079963597 718867647504 778773284796 1038364379728 1078301471256 1168159927194 1437735295008 1557546569592 1752239890791 2076728759456 2156602942512 2336319854388 3115093139184 3504479781582 4313205885024 4672639708776 6230186278368 7008959563164 9345279417552 14017919126328 18690558835104 28035838252656 56071676505312