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21672127867 = 13217231572089
BaseRepresentation
bin10100001011110000…
…100110110101111011
32001221100221011110111
4110023300212311323
5323341031042432
613542300525151
71365025022155
oct241360466573
961840834414
1021672127867
119211395485
124249b507b7
132074c45900
1410983d3ad5
1586c966347
hex50bc26d7b

21672127867 has 48 divisors (see below), whose sum is σ = 26105872320. Its totient is φ = 17886375936.

The previous prime is 21672127847. The next prime is 21672127937. The reversal of 21672127867 is 76872127612.

It is not a de Polignac number, because 21672127867 - 219 = 21671603579 is a prime.

It is a super-2 number, since 2×216721278672 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21672127867.

It is not an unprimeable number, because it can be changed into a prime (21672127817) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10373359 + ... + 10375447.

It is an arithmetic number, because the mean of its divisors is an integer number (543872340).

Almost surely, 221672127867 is an apocalyptic number.

21672127867 is a deficient number, since it is larger than the sum of its proper divisors (4433744453).

21672127867 is a wasteful number, since it uses less digits than its factorization.

21672127867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2299 counting only the distinct ones).

The product of its digits is 790272, while the sum is 49.

The spelling of 21672127867 in words is "twenty-one billion, six hundred seventy-two million, one hundred twenty-seven thousand, eight hundred sixty-seven".

Divisors: 1 13 17 23 157 169 221 299 391 2041 2089 2669 2873 3611 3887 5083 26533 27157 34697 35513 46943 48047 61387 66079 327973 353041 451061 461669 610259 624611 798031 816799 4263649 5575541 6001697 7543379 8119943 10374403 10618387 55427437 72482033 98063927 128237443 138039031 942266429 1274831051 1667086759 21672127867