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22746338874 = 23271672394523
BaseRepresentation
bin10101001011110010…
…011001011000111010
32011201020020201221100
4111023302121120322
5333041030320444
614241032552230
71433450455530
oct251362313072
964636221840
1022746338874
119712796076
1244a9852676
1321b666721c
14115ad3c150
158d1e05e69
hex54bc9963a

22746338874 has 96 divisors (see below), whose sum is σ = 56911196160. Its totient is φ = 6431586336.

The previous prime is 22746338779. The next prime is 22746338887. The reversal of 22746338874 is 47883364722.

It is a happy number.

22746338874 is a `hidden beast` number, since 227 + 4 + 6 + 338 + 87 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 22746338874.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5026777 + ... + 5031299.

It is an arithmetic number, because the mean of its divisors is an integer number (592824960).

Almost surely, 222746338874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22746338874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28455598080).

22746338874 is an abundant number, since it is smaller than the sum of its proper divisors (34164857286).

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

22746338874 is a wasteful number, since it uses less digits than its factorization.

22746338874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4944 (or 4941 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 54.

The spelling of 22746338874 in words is "twenty-two billion, seven hundred forty-six million, three hundred thirty-eight thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 167 239 334 478 501 717 1002 1169 1434 1503 1673 2151 2338 3006 3346 3507 4302 4523 5019 7014 9046 10038 10521 13569 15057 21042 27138 30114 31661 39913 40707 63322 79826 81414 94983 119739 189966 239478 279391 284949 359217 558782 569898 718434 755341 838173 1080997 1510682 1676346 2161994 2266023 2514519 3242991 4532046 5029038 5287387 6485982 6798069 7566979 9728973 10574774 13596138 15133958 15862161 19457946 22700937 31724322 45401874 47586483 68102811 95172966 136205622 180526499 361052998 541579497 1083158994 1263685493 1624738491 2527370986 3249476982 3791056479 7582112958 11373169437 22746338874