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21991461876 = 2233318379139
BaseRepresentation
bin10100011110110010…
…110001001111110100
32002202121211000101000
4110132302301033310
5330014303240001
614034105203300
71405653225126
oct243662611764
962677730330
1021991461876
11936567488a
124318a90530
1320c6152947
1410c899b216
1588a9e3a86
hex51ecb13f4

21991461876 has 96 divisors (see below), whose sum is σ = 59563929600. Its totient is φ = 7008461280.

The previous prime is 21991461841. The next prime is 21991461887. The reversal of 21991461876 is 67816419912.

21991461876 is a `hidden beast` number, since 2 + 1 + 9 + 9 + 14 + 618 + 7 + 6 = 666.

It is a super-2 number, since 2×219914618762 (a number of 21 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238315 + ... + 317453.

It is an arithmetic number, because the mean of its divisors is an integer number (620457600).

Almost surely, 221991461876 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 21991461876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29781964800).

21991461876 is an abundant number, since it is smaller than the sum of its proper divisors (37572467724).

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

21991461876 is a wasteful number, since it uses less digits than its factorization.

21991461876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79266 (or 79258 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

It can be divided in two parts, 2199146 and 1876, that added together give a palindrome (2201022).

The spelling of 21991461876 in words is "twenty-one billion, nine hundred ninety-one million, four hundred sixty-one thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 83 93 108 124 166 186 249 279 332 372 498 558 747 837 996 1116 1494 1674 2241 2573 2988 3348 4482 5146 7719 8964 10292 15438 23157 30876 46314 69471 79139 92628 138942 158278 237417 277884 316556 474834 712251 949668 1424502 2136753 2453309 2849004 4273506 4906618 6568537 7359927 8547012 9813236 13137074 14719854 19705611 22079781 26274148 29439708 39411222 44159562 59116833 66239343 78822444 88319124 118233666 132478686 177350499 203624647 236467332 264957372 354700998 407249294 610873941 709401996 814498588 1221747882 1832621823 2443495764 3665243646 5497865469 7330487292 10995730938 21991461876