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123814822688 = 2517236592
BaseRepresentation
bin111001101001111110…
…0000100001100100000
3102211120212102200102122
41303103330010030200
54012033043311223
6132514005203412
711642150425304
oct1632374041440
9384525380378
10123814822688
114856726a947
121bbb5400568
13b8a26414bb
145dc7c55d04
153349d4d5c8
hex1cd3f04320

123814822688 has 54 divisors (see below), whose sum is σ = 259013530881. Its totient is φ = 58249874944.

The previous prime is 123814822679. The next prime is 123814822693. The reversal of 123814822688 is 886228418321.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 113318410384 + 10496412304 = 336628^2 + 102452^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=248812.

It is a super-2 number, since 2×1238148226882 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33836603 + ... + 33840261.

Almost surely, 2123814822688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123814822688

123814822688 is an abundant number, since it is smaller than the sum of its proper divisors (135198708193).

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

123814822688 is an frugal number, since it uses more digits than its factorization.

123814822688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7362 (or 3678 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 53.

The spelling of 123814822688 in words is "one hundred twenty-three billion, eight hundred fourteen million, eight hundred twenty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 289 544 578 1156 2312 3659 4624 7318 9248 14636 29272 58544 62203 117088 124406 248812 497624 995248 1057451 1990496 2114902 4229804 8459608 13388281 16919216 26776562 33838432 53553124 107106248 214212496 227600777 428424992 455201554 910403108 1820806216 3641612432 3869213209 7283224864 7738426418 15476852836 30953705672 61907411344 123814822688