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22642013013435 = 3254314651251003
BaseRepresentation
bin1010010010111110000010…
…01001001000010110111011
32222011112222211001121220200
411021133001021020112323
510431431320312412220
6120053332554053243
74524555122060424
oct511370111102673
988145884047820
1022642013013435
11723a473085222
12265821041a223
13c8319560a56a
14583c44a4464b
15293e8629b890
hex1497c12485bb

22642013013435 has 48 divisors (see below), whose sum is σ = 39345828807168. Its totient is φ = 12045083976000.

The previous prime is 22642013013421. The next prime is 22642013013443. The reversal of 22642013013435 is 53431031024622.

22642013013435 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 2 + 0 + 1 + 301 + 343 + 5 = 666.

It is not a de Polignac number, because 22642013013435 - 27 = 22642013013307 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22642013013435.

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, 90080644 + ... + 90331646.

It is an arithmetic number, because the mean of its divisors is an integer number (819704766816).

Almost surely, 222642013013435 is an apocalyptic number.

22642013013435 is a deficient number, since it is larger than the sum of its proper divisors (16703815793733).

22642013013435 is a wasteful number, since it uses less digits than its factorization.

22642013013435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256096 (or 256093 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 22642013013435 in words is "twenty-two trillion, six hundred forty-two billion, thirteen million, thirteen thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 45 431 1293 2155 3879 4651 6465 13953 19395 23255 41859 69765 209295 251003 753009 1255015 2004581 2259027 3765045 6013743 10022905 11295135 18041229 30068715 90206145 108182293 324546879 540911465 973640637 1167414953 1622734395 3502244859 4868203185 5837074765 10506734577 17511224295 52533672885 503155844743 1509467534229 2515779223715 4528402602687 7547337671145 22642013013435