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23114152386 = 2341324145541
BaseRepresentation
bin10101100001101101…
…011111100111000010
32012122212100121020000
4111201231133213002
5334314210334021
614341332300430
71445535024243
oct254155374702
965585317200
1023114152386
119891377886
124590a71716
132244919560
141193b24cca
1590435cb26
hex561b5f9c2

23114152386 has 80 divisors (see below), whose sum is σ = 56009555448. Its totient is φ = 7082380800.

The previous prime is 23114152349. The next prime is 23114152409. The reversal of 23114152386 is 68325141132.

23114152386 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 415 + 238 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13239954225 + 9874198161 = 115065^2 + 99369^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23114152386.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 484776 + ... + 530316.

Almost surely, 223114152386 is an apocalyptic number.

23114152386 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23114152386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28004777724).

23114152386 is an abundant number, since it is smaller than the sum of its proper divisors (32895403062).

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

23114152386 is a wasteful number, since it uses less digits than its factorization.

23114152386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45809 (or 45800 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 23114152386 in words is "twenty-three billion, one hundred fourteen million, one hundred fifty-two thousand, three hundred eighty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 241 351 482 702 723 1053 1446 2106 2169 3133 4338 6266 6507 9399 13014 18798 19521 28197 39042 45541 56394 84591 91082 136623 169182 253773 273246 409869 507546 592033 819738 1184066 1229607 1776099 2459214 3552198 3688821 5328297 7377642 10656594 10975381 15984891 21950762 31969782 32926143 47954673 65852286 95909346 98778429 142679953 197556858 285359906 296335287 428039859 592670574 856079718 889005861 1284119577 1778011722 2568239154 3852358731 7704717462 11557076193 23114152386