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22451693904 = 2432340745763
BaseRepresentation
bin10100111010001110…
…011010100101010000
32010221200211020000200
4110322032122211100
5331440113201104
614151505415200
71423242151353
oct247216324520
963850736020
1022451693904
119581439a32
12442703a500
13216a5c29a3
14112db6029a
158b6103b39
hex53a39a950

22451693904 has 60 divisors (see below), whose sum is σ = 62853375936. Its totient is φ = 7481537856.

The previous prime is 22451693827. The next prime is 22451693939. The reversal of 22451693904 is 40939615422.

22451693904 is a `hidden beast` number, since 2 + 245 + 16 + 9 + 390 + 4 = 666.

It is a super-2 number, since 2×224516939042 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22451693904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 467727 + ... + 513489.

Almost surely, 222451693904 is an apocalyptic number.

22451693904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22451693904 is an abundant number, since it is smaller than the sum of its proper divisors (40401682032).

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

22451693904 is a wasteful number, since it uses less digits than its factorization.

22451693904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49184 (or 49175 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 22451693904 in words is "twenty-two billion, four hundred fifty-one million, six hundred ninety-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3407 6814 10221 13628 20442 27256 30663 40884 45763 54512 61326 81768 91526 122652 137289 163536 183052 245304 274578 366104 411867 490608 549156 732208 823734 1098312 1647468 2196624 3294936 6589872 155914541 311829082 467743623 623658164 935487246 1247316328 1403230869 1870974492 2494632656 2806461738 3741948984 5612923476 7483897968 11225846952 22451693904