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23026848516 = 22327236132
BaseRepresentation
bin10101011100100000…
…011101001100000100
32012102210002002211100
4111130200131030010
5334124333123031
614324533140100
71443424661100
oct253440351404
965383062740
1023026848516
119847068121
12456778a630
13222c7cc869
1411862ba900
158eb864de6
hex55c81d304

23026848516 has 81 divisors (see below), whose sum is σ = 67728645621. Its totient is φ = 6577278624.

The previous prime is 23026848487. The next prime is 23026848529. The reversal of 23026848516 is 61584862032.

The square root of 23026848516 is 151746.

It is a perfect power (a square), and thus also a powerful number.

23026848516 is a `hidden beast` number, since 2 + 30 + 2 + 68 + 48 + 516 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12744900 + 23014103616 = 3570^2 + 151704^2 .

It is a super-2 number, since 2×230268485162 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6371526 + ... + 6375138.

Almost surely, 223026848516 is an apocalyptic number.

23026848516 is the 151746-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23026848516

23026848516 is an abundant number, since it is smaller than the sum of its proper divisors (44701797105).

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

23026848516 is an equidigital number, since it uses as much as digits as its factorization.

23026848516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7250 (or 3625 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

It can be divided in two parts, 230268 and 48516, that added together give a square (278784 = 5282).

The spelling of 23026848516 in words is "twenty-three billion, twenty-six million, eight hundred forty-eight thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 3613 7226 10839 14452 21678 25291 32517 43356 50582 65034 75873 101164 130068 151746 177037 227619 303492 354074 455238 531111 708148 910476 1062222 1593333 2124444 3186666 6373332 13053769 26107538 39161307 52215076 78322614 91376383 117483921 156645228 182752766 234967842 274129149 365505532 469935684 548258298 639634681 822387447 1096516596 1279269362 1644774894 1918904043 2558538724 3289549788 3837808086 5756712129 7675616172 11513424258 23026848516