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23401513824 = 25313212012
BaseRepresentation
bin10101110010110101…
…101100001101100000
32020101220002002000020
4111302311230031200
5340411241420244
614430035353440
71455624404553
oct256265541540
966356062006
1023401513824
119a195a9777
124651152880
13228c310800
1411bdd6869a
1591e6c1d19
hex572d6c360

23401513824 has 108 divisors (see below), whose sum is σ = 66573195948. Its totient is φ = 7194470400.

The previous prime is 23401513777. The next prime is 23401513901. The reversal of 23401513824 is 42831510432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19484424 + ... + 19485624.

It is an arithmetic number, because the mean of its divisors is an integer number (616418481).

Almost surely, 223401513824 is an apocalyptic number.

23401513824 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 23401513824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33286597974).

23401513824 is an abundant number, since it is smaller than the sum of its proper divisors (43171682124).

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

23401513824 is an equidigital number, since it uses as much as digits as its factorization.

23401513824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 23401513824 in words is "twenty-three billion, four hundred one million, five hundred thirteen thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 624 676 1014 1201 1248 1352 2028 2402 2704 3603 4056 4804 5408 7206 8112 9608 14412 15613 16224 19216 28824 31226 38432 46839 57648 62452 93678 115296 124904 187356 202969 249808 374712 405938 499616 608907 749424 811876 1217814 1442401 1498848 1623752 2435628 2884802 3247504 4327203 4871256 5769604 6495008 8654406 9742512 11539208 17308812 18751213 19485024 23078416 34617624 37502426 46156832 56253639 69235248 75004852 112507278 138470496 150009704 225014556 243765769 300019408 450029112 487531538 600038816 731297307 900058224 975063076 1462594614 1800116448 1950126152 2925189228 3900252304 5850378456 7800504608 11700756912 23401513824