Search a number
-
+
23601188064 = 253794337187
BaseRepresentation
bin10101111110101111…
…011000110011100000
32020220210210120120110
4111332233120303200
5341313401004224
614501531211320
71463600534316
oct257657306340
966823716513
1023601188064
11a011289a03
1246a7ba6b40
1322c17b274c
1411dc6a40b6
15931eb4929
hex57ebd8ce0

23601188064 has 96 divisors (see below), whose sum is σ = 62890974720. Its totient is φ = 7748462592.

The previous prime is 23601188041. The next prime is 23601188167. The reversal of 23601188064 is 46088110632.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3280279 + ... + 3287465.

It is an arithmetic number, because the mean of its divisors is an integer number (655114320).

Almost surely, 223601188064 is an apocalyptic number.

23601188064 is a gapful number since it is divisible by the number (24) 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 23601188064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31445487360).

23601188064 is an abundant number, since it is smaller than the sum of its proper divisors (39289786656).

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

23601188064 is a wasteful number, since it uses less digits than its factorization.

23601188064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7712 (or 7704 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

Adding to 23601188064 its reverse (46088110632), we get a palindrome (69689298696).

The spelling of 23601188064 in words is "twenty-three billion, six hundred one million, one hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 433 474 632 866 948 1264 1299 1732 1896 2528 2598 3464 3792 5196 6928 7187 7584 10392 13856 14374 20784 21561 28748 34207 41568 43122 57496 68414 86244 102621 114992 136828 172488 205242 229984 273656 344976 410484 547312 567773 689952 820968 1094624 1135546 1641936 1703319 2271092 3111971 3283872 3406638 4542184 6223942 6813276 9084368 9335913 12447884 13626552 18168736 18671826 24895768 27253104 37343652 49791536 54506208 74687304 99583072 149374608 245845709 298749216 491691418 737537127 983382836 1475074254 1966765672 2950148508 3933531344 5900297016 7867062688 11800594032 23601188064