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22958464464 = 24321312264137
BaseRepresentation
bin10101011000011011…
…100101110111010000
32012021000101211112200
4111120123211313100
5334004331330324
614314051323200
71441634504505
oct253033456720
965230354480
1022958464464
119811500181
1245488b0500
13221b5a8720
14117b1994ac
158e5857ec9
hex5586e5dd0

22958464464 has 60 divisors (see below), whose sum is σ = 69194266596. Its totient is φ = 7064142336.

The previous prime is 22958464447. The next prime is 22958464471. The reversal of 22958464464 is 46446485922.

It can be written as a sum of positive squares in 2 ways, for example, as 9839052864 + 13119411600 = 99192^2 + 114540^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22958464464.

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, 6130197 + ... + 6133940.

Almost surely, 222958464464 is an apocalyptic number.

22958464464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22958464464 is an abundant number, since it is smaller than the sum of its proper divisors (46235802132).

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

22958464464 is a wasteful number, since it uses less digits than its factorization.

22958464464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12264164 (or 12264155 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 22958464464 in words is "twenty-two billion, nine hundred fifty-eight million, four hundred sixty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 12264137 24528274 36792411 49056548 73584822 98113096 110377233 147169644 159433781 196226192 220754466 294339288 318867562 441508932 478301343 588678576 637735124 883017864 956602686 1275470248 1434904029 1766035728 1913205372 2550940496 2869808058 3826410744 5739616116 7652821488 11479232232 22958464464