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221656361271044 = 227172413013364123
BaseRepresentation
bin110010011001100001100100…
…101011001111111100000100
31002001211010210221001021012112
4302121201210223033330010
5213023104211441133134
62103231305430040152
764455100160004110
oct6231414453177404
91061733727037175
10221656361271044
1164698a31405a17
1220a3a5a2aa9058
13968b14a10586b
143ca4321a70740
151a95bcd59a1ce
hexc99864acff04

221656361271044 has 96 divisors (see below), whose sum is σ = 471360610296576. Its totient is φ = 89032278712320.

The previous prime is 221656361271031. The next prime is 221656361271101. The reversal of 221656361271044 is 440172163656122.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 221656361270983 and 221656361271001.

It is an unprimeable number.

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, 3456705167 + ... + 3456769289.

It is an arithmetic number, because the mean of its divisors is an integer number (4910006357256).

Almost surely, 2221656361271044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221656361271044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235680305148288).

221656361271044 is an abundant number, since it is smaller than the sum of its proper divisors (249704249025532).

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

221656361271044 is a wasteful number, since it uses less digits than its factorization.

221656361271044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94525 (or 94523 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 50.

The spelling of 221656361271044 in words is "two hundred twenty-one trillion, six hundred fifty-six billion, three hundred sixty-one million, two hundred seventy-one thousand, forty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 241 476 482 964 1687 3374 4097 6748 8194 16388 28679 30133 57358 60266 64123 114716 120532 128246 210931 256492 421862 448861 512261 843724 897722 1024522 1090091 1795444 2049044 2180182 3585827 4360364 7171654 7262053 7630637 14343308 14524106 15261274 15453643 29048212 30522548 30907286 50834371 61814572 101668742 108175501 123454901 203337484 216351002 246909802 262711931 432702004 493819604 525423862 864184307 1050847724 1728368614 1838983517 1932218359 3456737228 3677967034 3864436718 7355934068 7728873436 13525528513 27051057026 32847712103 54102114052 65695424206 131390848412 229933984721 459867969442 465664624519 919735938884 931329249038 1862658498076 3259652371633 6519304743266 7916298616823 13038609486532 15832597233646 31665194467292 55414090317761 110828180635522 221656361271044