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221555077650764 = 2211134617691092593
BaseRepresentation
bin110010011000000011001111…
…101100111001100101001100
31002001110110101022001020221222
4302120003033230321211030
5213014424244334311024
62103112555250342512
764444553235305324
oct6230031754714514
91061413338036858
10221555077650764
1164659a8744aa10
1220a22a3728aa38
1396817286a47c0
143c9d474354284
151a9325180885e
hexc980cfb3994c

221555077650764 has 96 divisors (see below), whose sum is σ = 457086962122560. Its totient is φ = 92637816422400.

The previous prime is 221555077650763. The next prime is 221555077650769. The reversal of 221555077650764 is 467056770555122.

It is a super-2 number, since 2×2215550776507642 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221555077650697 and 221555077650706.

It is not an unprimeable number, because it can be changed into a prime (221555077650761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202232852 + ... + 203325444.

It is an arithmetic number, because the mean of its divisors is an integer number (4761322522110).

Almost surely, 2221555077650764 is an apocalyptic number.

It is an amenable number.

221555077650764 is an abundant number, since it is smaller than the sum of its proper divisors (235531884471796).

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

221555077650764 is a wasteful number, since it uses less digits than its factorization.

221555077650764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093851 (or 1093849 counting only the distinct ones).

The product of its (nonzero) digits is 123480000, while the sum is 62.

The spelling of 221555077650764 in words is "two hundred twenty-one trillion, five hundred fifty-five billion, seventy-seven million, six hundred fifty thousand, seven hundred sixty-four".

Divisors: 1 2 4 11 13 22 26 44 52 143 286 461 572 769 922 1538 1844 3076 5071 5993 8459 9997 10142 11986 16918 19994 20284 23972 33836 39988 65923 109967 131846 219934 263692 354509 439868 709018 1092593 1418036 2185186 3899599 4370372 4608617 7799198 9217234 12018523 14203709 15598396 18434468 24037046 28407418 48074092 50694787 56814836 101389574 156240799 202779148 312481598 503685373 624963196 840204017 1007370746 1680408034 2014741492 3360816068 5540539103 6547909849 9242244187 10922652221 11081078206 13095819698 18484488374 21845304442 22162156412 26191639396 36968976748 43690608884 72027008339 120149174431 144054016678 240298348862 288108033356 387334051837 480596697724 774668103674 1549336207348 4260674570207 5035342673881 8521349140414 10070685347762 17042698280828 20141370695524 55388769412691 110777538825382 221555077650764