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23838463296 = 2636510941
BaseRepresentation
bin10110001100111000…
…100001010101000000
32021112100021102000000
4112030320201111000
5342310121311141
614541245000000
71502511410664
oct261470412500
967470242000
1023838463296
11a12321133a
124753553000
13232b9bb2ab
141221dca8a4
15947c335b6
hex58ce21540

23838463296 has 98 divisors (see below), whose sum is σ = 70924369962. Its totient is φ = 7946138880.

The previous prime is 23838463291. The next prime is 23838463303. The reversal of 23838463296 is 69236483832.

23838463296 is a `hidden beast` number, since 238 + 3 + 84 + 6 + 329 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15211768896 + 8626694400 = 123336^2 + 92880^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23838463291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 208815 + ... + 302126.

Almost surely, 223838463296 is an apocalyptic number.

It is an amenable number.

23838463296 is an abundant number, since it is smaller than the sum of its proper divisors (47085906666).

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

23838463296 is an frugal number, since it uses more digits than its factorization.

23838463296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510971 (or 510946 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 23838463296 in words is "twenty-three billion, eight hundred thirty-eight million, four hundred sixty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3888 5184 5832 7776 11664 15552 23328 46656 510941 1021882 1532823 2043764 3065646 4087528 4598469 6131292 8175056 9196938 12262584 13795407 16350112 18393876 24525168 27590814 32700224 36787752 41386221 49050336 55181628 73575504 82772442 98100672 110363256 124158663 147151008 165544884 220726512 248317326 294302016 331089768 372475989 441453024 496634652 662179536 744951978 882906048 993269304 1324359072 1489903956 1986538608 2648718144 2979807912 3973077216 5959615824 7946154432 11919231648 23838463296