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271020421356804 = 223272811138258257
BaseRepresentation
bin111101100111110111011011…
…111100010001110100000100
31022112121022002011001122222100
4331213313123330101310010
5241010344310331404204
62400225021320032100
7111041402456355150
oct7547673374216404
91275538064048870
10271020421356804
11793a012a405a49
12264916a6902630
13b82c1680174a2
144acd65bb3c060
15214ece3048a39
hexf67ddbf11d04

271020421356804 has 72 divisors (see below), whose sum is σ = 782975756396288. Its totient is φ = 77431649483520.

The previous prime is 271020421356803. The next prime is 271020421356823. The reversal of 271020421356804 is 408653124020172.

271020421356804 is a `hidden beast` number, since 2 + 7 + 10 + 20 + 42 + 13 + 568 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 271020421356804.

It is not an unprimeable number, because it can be changed into a prime (271020421356803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12045157 + ... + 26213100.

Almost surely, 2271020421356804 is an apocalyptic number.

It is an amenable number.

271020421356804 is an abundant number, since it is smaller than the sum of its proper divisors (511955335039484).

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

271020421356804 is a wasteful number, since it uses less digits than its factorization.

271020421356804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38286385 (or 38286380 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

Adding to 271020421356804 its reverse (408653124020172), we get a palindrome (679673545376976).

The spelling of 271020421356804 in words is "two hundred seventy-one trillion, twenty billion, four hundred twenty-one million, three hundred fifty-six thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 28111 56222 84333 112444 168666 196777 252999 337332 393554 505998 590331 787108 1011996 1180662 1770993 2361324 3541986 7083972 38258257 76516514 114774771 153033028 229549542 267807799 344324313 459099084 535615598 688648626 803423397 1071231196 1377297252 1606846794 2410270191 3213693588 4820540382 9641080764 1075477862527 2150955725054 3226433587581 4301911450108 6452867175162 7528345037689 9679300762743 12905734350324 15056690075378 19358601525486 22585035113067 30113380150756 38717203050972 45170070226134 67755105339201 90340140452268 135510210678402 271020421356804