Search a number
-
+
23248043136 = 273220180593
BaseRepresentation
bin10101101001101100…
…001111110010000000
32020000012021221210200
4111221230033302000
5340102444340021
614402514125200
71452052051263
oct255154176200
966005257720
1023248043136
11994aa0699a
124609880800
132266597c56
1411a7818cda
15910ea9126
hex569b0fc80

23248043136 has 48 divisors (see below), whose sum is σ = 66898669110. Its totient is φ = 7749347328.

The previous prime is 23248043107. The next prime is 23248043141. The reversal of 23248043136 is 63134084232.

23248043136 is a `hidden beast` number, since 2 + 3 + 2 + 480 + 43 + 136 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22392129600 + 855913536 = 149640^2 + 29256^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 23248043136.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10089145 + ... + 10091448.

Almost surely, 223248043136 is an apocalyptic number.

It is an amenable number.

23248043136 is an abundant number, since it is smaller than the sum of its proper divisors (43650625974).

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

23248043136 is a wasteful number, since it uses less digits than its factorization.

23248043136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20180613 (or 20180598 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 23248043136 in words is "twenty-three billion, two hundred forty-eight million, forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 20180593 40361186 60541779 80722372 121083558 161444744 181625337 242167116 322889488 363250674 484334232 645778976 726501348 968668464 1291557952 1453002696 1937336928 2583115904 2906005392 3874673856 5812010784 7749347712 11624021568 23248043136