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23903633664 = 283232212
BaseRepresentation
bin10110010000110001…
…001000000100000000
32021200212220101221100
4112100301020010000
5342423312234124
614551533454400
71504232351031
oct262061100400
967625811840
1023903633664
11a156a83849
124771341400
13233c358741
14122a912a88
1594d8081c9
hex590c48100

23903633664 has 81 divisors (see below), whose sum is σ = 68941472509. Its totient is φ = 7965404160.

The previous prime is 23903633627. The next prime is 23903633723. The reversal of 23903633664 is 46633630932.

The square root of 23903633664 is 154608.

It is a perfect power (a square), and thus also a powerful number.

23903633664 is a `hidden beast` number, since 2 + 3 + 9 + 0 + 3 + 633 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18439467264 + 5464166400 = 135792^2 + 73920^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7419574 + ... + 7422794.

Almost surely, 223903633664 is an apocalyptic number.

23903633664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

23903633664 is the 154608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23903633664

23903633664 is an abundant number, since it is smaller than the sum of its proper divisors (45037838845).

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

23903633664 is an frugal number, since it uses more digits than its factorization.

23903633664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6464 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 45.

The spelling of 23903633664 in words is "twenty-three billion, nine hundred three million, six hundred thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 3221 6442 9663 12884 19326 25768 28989 38652 51536 57978 77304 103072 115956 154608 206144 231912 309216 412288 463824 618432 824576 927648 1236864 1855296 2473728 3710592 7421184 10374841 20749682 31124523 41499364 62249046 82998728 93373569 124498092 165997456 186747138 248996184 331994912 373494276 497992368 663989824 746988552 995984736 1327979648 1493977104 1991969472 2655959296 2987954208 3983938944 5975908416 7967877888 11951816832 23903633664