Search a number
-
+
23729456020 = 2254133198719
BaseRepresentation
bin10110000110011000…
…101100001110010100
32021020202011021010111
4112012120230032110
5342044220043040
614522352332404
71500016022344
oct260630541624
967222137114
1023729456020
11a077728586
124722b44104
132312242a4a
141211732d24
1593d39edea
hex58662c394

23729456020 has 48 divisors (see below), whose sum is σ = 51068505600. Its totient is φ = 9256423680.

The previous prime is 23729455991. The next prime is 23729456039. The reversal of 23729456020 is 2065492732.

It is a super-2 number, since 2×237294560202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2717221 + ... + 2725939.

It is an arithmetic number, because the mean of its divisors is an integer number (1063927200).

Almost surely, 223729456020 is an apocalyptic number.

23729456020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23729456020 is an abundant number, since it is smaller than the sum of its proper divisors (27339049580).

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

23729456020 is a wasteful number, since it uses less digits than its factorization.

23729456020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12088 (or 12086 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 23729456020 in words is "twenty-three billion, seven hundred twenty-nine million, four hundred fifty-six thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 3319 6638 8719 13276 16595 17438 33190 34876 43595 66380 87190 136079 174380 272158 357479 544316 680395 714958 1360790 1429916 1787395 2721580 3574790 7149580 28938361 57876722 115753444 144691805 289383610 578767220 1186472801 2372945602 4745891204 5932364005 11864728010 23729456020