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23506397352 = 233217191010767
BaseRepresentation
bin10101111001000101…
…110010100010101000
32020200012102201011100
4111321011302202220
5341120114203402
614444303401400
71461340036464
oct257105624250
966605381140
1023506397352
119a72826279
1246802b3260
1322a7c74079
1411cdc6b4a4
159289dd71c
hex5791728a8

23506397352 has 96 divisors (see below), whose sum is σ = 70955913600. Its totient is φ = 6986414592.

The previous prime is 23506397351. The next prime is 23506397357. The reversal of 23506397352 is 25379360532.

23506397352 is a `hidden beast` number, since 2 + 3 + 5 + 0 + 639 + 7 + 3 + 5 + 2 = 666.

It is a super-2 number, since 2×235063973522 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 23506397298 and 23506397307.

It is not an unprimeable number, because it can be changed into a prime (23506397351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 482128 + ... + 528639.

It is an arithmetic number, because the mean of its divisors is an integer number (739124100).

Almost surely, 223506397352 is an apocalyptic number.

It is an amenable number.

23506397352 is an abundant number, since it is smaller than the sum of its proper divisors (47449516248).

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

23506397352 is a wasteful number, since it uses less digits than its factorization.

23506397352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010815 (or 1010808 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The spelling of 23506397352 in words is "twenty-three billion, five hundred six million, three hundred ninety-seven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 34 36 38 51 57 68 72 76 102 114 136 152 153 171 204 228 306 323 342 408 456 612 646 684 969 1224 1292 1368 1938 2584 2907 3876 5814 7752 11628 23256 1010767 2021534 3032301 4043068 6064602 8086136 9096903 12129204 17183039 18193806 19204573 24258408 34366078 36387612 38409146 51549117 57613719 68732156 72775224 76818292 103098234 115227438 137464312 153636584 154647351 172841157 206196468 230454876 309294702 326477741 345682314 412392936 460909752 618589404 652955482 691364628 979433223 1237178808 1305910964 1382729256 1958866446 2611821928 2938299669 3917732892 5876599338 7835465784 11753198676 23506397352