Search a number
-
+
23872621136 = 24713197271187
BaseRepresentation
bin10110001110111010…
…110100101001010000
32021121201112210202012
4112032322310221100
5342342342334021
614544505042052
71503404634350
oct261672645120
967551483665
1023872621136
11a140521661
124762a86328
132335aba930
14122675cb60
1594ac2e35b
hex58eeb4a50

23872621136 has 160 divisors (see below), whose sum is σ = 60056156160. Its totient is φ = 8927221248.

The previous prime is 23872621063. The next prime is 23872621147. The reversal of 23872621136 is 63112627832.

It is a junction number, because it is equal to n+sod(n) for n = 23872621093 and 23872621102.

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 31 ways as a sum of consecutive naturals, for example, 20111135 + ... + 20112321.

It is an arithmetic number, because the mean of its divisors is an integer number (375350976).

Almost surely, 223872621136 is an apocalyptic number.

23872621136 is a gapful number since it is divisible by the number (26) 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 23872621136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30028078080).

23872621136 is an abundant number, since it is smaller than the sum of its proper divisors (36183535024).

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

23872621136 is a wasteful number, since it uses less digits than its factorization.

23872621136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1955 counting only the distinct ones).

The product of its digits is 145152, while the sum is 41.

The spelling of 23872621136 in words is "twenty-three billion, eight hundred seventy-two million, six hundred twenty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 52 56 76 91 104 112 133 152 182 208 247 266 304 364 494 532 727 728 988 1064 1187 1454 1456 1729 1976 2128 2374 2908 3458 3952 4748 5089 5816 6916 8309 9451 9496 10178 11632 13813 13832 15431 16618 18902 18992 20356 22553 27626 27664 30862 33236 37804 40712 45106 55252 61724 66157 66472 75608 81424 90212 96691 108017 110504 123448 132314 132944 151216 157871 179569 180424 193382 216034 221008 246896 264628 293189 315742 359138 360848 386764 432068 529256 586378 631484 718276 773528 862949 864136 1058512 1172756 1256983 1262968 1436552 1547056 1725898 1728272 2052323 2345512 2513966 2525936 2873104 3451796 4104646 4691024 5027932 6040643 6903592 8209292 10055864 11218337 12081286 13807184 16396031 16418584 20111728 22436674 24162572 32792062 32837168 44873348 48325144 65584124 78528359 89746696 96650288 114772217 131168248 157056718 179493392 213148403 229544434 262336496 314113436 426296806 459088868 628226872 852593612 918177736 1256453744 1492038821 1705187224 1836355472 2984077642 3410374448 5968155284 11936310568 23872621136