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21968091684 = 22327119781701
BaseRepresentation
bin10100011101011001…
…100111101000100100
32002200222211200111100
4110131121213220210
5324442312413214
614031512240100
71405250461350
oct243531475044
962628750440
1021968091684
119353462480
1243110a0030
1320c135c526
1410c5836460
15888929309
hex51d667a24

21968091684 has 144 divisors (see below), whose sum is σ = 69947369856. Its totient is φ = 5647104000.

The previous prime is 21968091623. The next prime is 21968091703. The reversal of 21968091684 is 48619086912.

It is a self number, because there is not a number n which added to its sum of digits gives 21968091684.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228034 + ... + 309734.

It is an arithmetic number, because the mean of its divisors is an integer number (485745624).

Almost surely, 221968091684 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 21968091684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34973684928).

21968091684 is an abundant number, since it is smaller than the sum of its proper divisors (47979278172).

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

21968091684 is a wasteful number, since it uses less digits than its factorization.

21968091684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81826 (or 81821 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

It can be divided in two parts, 219680 and 91684, that added together give a square (311364 = 5582).

The spelling of 21968091684 in words is "twenty-one billion, nine hundred sixty-eight million, ninety-one thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 97 99 126 132 154 194 198 231 252 291 308 388 396 462 582 679 693 873 924 1067 1164 1358 1386 1746 2037 2134 2716 2772 3201 3492 4074 4268 6111 6402 7469 8148 9603 12222 12804 14938 19206 22407 24444 29876 38412 44814 67221 81701 89628 134442 163402 245103 268884 326804 490206 571907 735309 898711 980412 1143814 1470618 1715721 1797422 2287628 2696133 2941236 3431442 3594844 5147163 5392266 6290977 6862884 7924997 8088399 10294326 10784532 12581954 15849994 16176798 18872931 20588652 23774991 25163908 31699988 32353596 37745862 47549982 55474979 56618793 71324973 75491724 87174967 95099964 110949958 113237586 142649946 166424937 174349934 221899916 226475172 261524901 285299892 332849874 348699868 499274811 523049802 610224769 665699748 784574703 998549622 1046099604 1220449538 1569149406 1830674307 1997099244 2440899076 3138298812 3661348614 5492022921 7322697228 10984045842 21968091684