Search a number
-
+
23754573984 = 2531924331583
BaseRepresentation
bin10110000111111000…
…100000100010100000
32021022111102101111110
4112013320200202200
5342122132331414
614525050543320
71500442355511
oct260770404240
967274371443
1023754573984
11a08a924029
12472b437b40
1323174c884b
141214bd0a08
159406b2459
hex587e208a0

23754573984 has 144 divisors (see below), whose sum is σ = 66004025472. Its totient is φ = 7479392256.

The previous prime is 23754573971. The next prime is 23754574007. The reversal of 23754573984 is 48937545732.

It is a super-2 number, since 2×237545739842 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15005257 + ... + 15006839.

It is an arithmetic number, because the mean of its divisors is an integer number (458361288).

Almost surely, 223754573984 is an apocalyptic number.

23754573984 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 23754573984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33002012736).

23754573984 is an abundant number, since it is smaller than the sum of its proper divisors (42249451488).

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

23754573984 is a wasteful number, since it uses less digits than its factorization.

23754573984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2040 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 57.

The spelling of 23754573984 in words is "twenty-three billion, seven hundred fifty-four million, five hundred seventy-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 361 433 456 608 722 866 912 1083 1299 1444 1583 1732 1824 2166 2598 2888 3166 3464 4332 4749 5196 5776 6332 6928 8227 8664 9498 10392 11552 12664 13856 16454 17328 18996 20784 24681 25328 30077 32908 34656 37992 41568 49362 50656 60154 65816 75984 90231 98724 120308 131632 151968 156313 180462 197448 240616 263264 312626 360924 394896 468939 481232 571463 625252 685439 721848 789792 937878 962464 1142926 1250504 1370878 1443696 1714389 1875756 2056317 2285852 2501008 2741756 2887392 3428778 3751512 4112634 4571704 5002016 5483512 6857556 7503024 8225268 9143408 10967024 13023341 13715112 15006048 16450536 18286816 21934048 26046682 27430224 32901072 39070023 52093364 54860448 65802144 78140046 104186728 156280092 208373456 247443479 312560184 416746912 494886958 625120368 742330437 989773916 1250240736 1484660874 1979547832 2969321748 3959095664 5938643496 7918191328 11877286992 23754573984