Search a number
-
+
23904281232 = 24321312769381
BaseRepresentation
bin10110010000110011…
…100110001010010000
32021200221010022020100
4112100303212022100
5342423443444412
614551555412400
71504241016006
oct262063461220
967627108210
1023904281232
11a157386327
1247715b4100
13233c524410
14122aa40a76
1594d8d4edc
hex590ce6290

23904281232 has 60 divisors (see below), whose sum is σ = 72044853244. Its totient is φ = 7355162880.

The previous prime is 23904281221. The next prime is 23904281237. The reversal of 23904281232 is 23218240932.

23904281232 is a `hidden beast` number, since 23 + 90 + 428 + 123 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6911594496 + 16992686736 = 83136^2 + 130356^2 .

It is a super-2 number, since 2×239042812322 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (23904281237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6382819 + ... + 6386562.

Almost surely, 223904281232 is an apocalyptic number.

It is an amenable number.

23904281232 is an abundant number, since it is smaller than the sum of its proper divisors (48140572012).

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

23904281232 is a wasteful number, since it uses less digits than its factorization.

23904281232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12769408 (or 12769399 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 23904281232 in words is "twenty-three billion, nine hundred four million, two hundred eighty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 12769381 25538762 38308143 51077524 76616286 102155048 114924429 153232572 166001953 204310096 229848858 306465144 332003906 459697716 498005859 612930288 664007812 919395432 996011718 1328015624 1494017577 1838790864 1992023436 2656031248 2988035154 3984046872 5976070308 7968093744 11952140616 23904281232