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23460521868 = 22327315356663
BaseRepresentation
bin10101110110010110…
…110010011110001100
32020120000002222211100
4111312112302132030
5341021343144433
614435544223100
71460242100640
oct256626623614
966500088740
1023460521868
119a49942353
124668a6aa90
13229b601104
1411c7b28c20
1592497ab13
hex5765b278c

23460521868 has 144 divisors (see below), whose sum is σ = 71282405376. Its totient is φ = 6364275840.

The previous prime is 23460521863. The next prime is 23460521873. The reversal of 23460521868 is 86812506432.

23460521868 is a `hidden beast` number, since 2 + 3 + 4 + 60 + 521 + 8 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (23460521863) and next prime (23460521873).

It is not an unprimeable number, because it can be changed into a prime (23460521863) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 385705 + ... + 442367.

It is an arithmetic number, because the mean of its divisors is an integer number (495016704).

Almost surely, 223460521868 is an apocalyptic number.

23460521868 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23460521868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35641202688).

23460521868 is an abundant number, since it is smaller than the sum of its proper divisors (47821883508).

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

23460521868 is a wasteful number, since it uses less digits than its factorization.

23460521868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56764 (or 56759 counting only the distinct ones).

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

The spelling of 23460521868 in words is "twenty-three billion, four hundred sixty million, five hundred twenty-one thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 53 62 63 84 93 106 124 126 159 186 212 217 252 279 318 371 372 434 477 558 636 651 742 868 954 1113 1116 1302 1484 1643 1908 1953 2226 2604 3286 3339 3906 4452 4929 6572 6678 7812 9858 11501 13356 14787 19716 23002 29574 34503 46004 56663 59148 69006 103509 113326 138012 169989 207018 226652 339978 396641 414036 509967 679956 793282 1019934 1189923 1586564 1756553 2039868 2379846 3003139 3513106 3569769 4759692 5269659 6006278 7026212 7139538 9009417 10539318 12012556 12295871 14279076 15808977 18018834 21021973 21078636 24591742 27028251 31617954 36037668 36887613 42043946 49183484 54056502 63065919 63235908 73775226 84087892 93097309 108113004 110662839 126131838 147550452 186194618 189197757 221325678 252263676 279291927 372389236 378395514 442651356 558583854 651681163 756791028 837875781 1117167708 1303362326 1675751562 1955043489 2606724652 3351503124 3910086978 5865130467 7820173956 11730260934 23460521868