Search a number
-
+
23062381120 = 265473734111
BaseRepresentation
bin10101011110101000…
…000000001001000000
32012112020221100101201
4111132220000021000
5334212432143440
614332242510544
71444336001512
oct253650001100
965466840351
1023062381120
119865127309
124577665454
132236c90b7c
14118acc9bb2
158eea3319a
hex55ea00240

23062381120 has 112 divisors (see below), whose sum is σ = 56249791488. Its totient is φ = 9002280960.

The previous prime is 23062381103. The next prime is 23062381123. The reversal of 23062381120 is 2118326032.

It is not an unprimeable number, because it can be changed into a prime (23062381123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5607865 + ... + 5611975.

Almost surely, 223062381120 is an apocalyptic number.

23062381120 is a gapful number since it is divisible by the number (20) 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 23062381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28124895744).

23062381120 is an abundant number, since it is smaller than the sum of its proper divisors (33187410368).

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

23062381120 is a wasteful number, since it uses less digits than its factorization.

23062381120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4548 (or 4538 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 23062381120 in words is "twenty-three billion, sixty-two million, three hundred eighty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 160 188 235 320 373 376 470 746 752 940 1492 1504 1865 1880 2984 3008 3730 3760 4111 5968 7460 7520 8222 11936 14920 15040 16444 17531 20555 23872 29840 32888 35062 41110 59680 65776 70124 82220 87655 119360 131552 140248 164440 175310 193217 263104 280496 328880 350620 386434 560992 657760 701240 772868 966085 1121984 1315520 1402480 1533403 1545736 1932170 2804960 3066806 3091472 3864340 5609920 6133612 6182944 7667015 7728680 12267224 12365888 15334030 15457360 24534448 30668060 30914720 49068896 61336120 61829440 72069941 98137792 122672240 144139882 245344480 288279764 360349705 490688960 576559528 720699410 1153119056 1441398820 2306238112 2882797640 4612476224 5765595280 11531190560 23062381120