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23481157050 = 232521311335521
BaseRepresentation
bin10101110111100101…
…100000010110111010
32020121102221100222100
4111313211200112322
5341042134011200
614442002404230
71460612353551
oct256745402672
966542840870
1023481157050
119a5a55691a
124673960676
1322a2977690
1411ca77ad98
159266a4d00
hex5779605ba

23481157050 has 144 divisors (see below), whose sum is σ = 68541972408. Its totient is φ = 5728665600.

The previous prime is 23481157039. The next prime is 23481157093. The reversal of 23481157050 is 5075118432.

23481157050 is a `hidden beast` number, since 2 + 3 + 4 + 81 + 1 + 570 + 5 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 115283169 + 23365873881 = 10737^2 + 152859^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23481156996 and 23481157014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 643290 + ... + 678810.

Almost surely, 223481157050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23481157050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34270986204).

23481157050 is an abundant number, since it is smaller than the sum of its proper divisors (45060815358).

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

23481157050 is a wasteful number, since it uses less digits than its factorization.

23481157050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35665 (or 35657 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 23481157050 in words is "twenty-three billion, four hundred eighty-one million, one hundred fifty-seven thousand, fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 113 117 130 150 195 225 226 234 325 339 390 450 565 585 650 678 975 1017 1130 1170 1469 1695 1950 2034 2825 2925 2938 3390 4407 5085 5650 5850 7345 8475 8814 10170 13221 14690 16950 22035 25425 26442 35521 36725 44070 50850 66105 71042 73450 106563 110175 132210 177605 213126 220350 319689 330525 355210 461773 532815 639378 661050 888025 923546 1065630 1385319 1598445 1776050 2308865 2664075 2770638 3196890 4013873 4155957 4617730 5328150 6926595 7992225 8027746 8311914 11544325 12041619 13853190 15984450 20069365 20779785 23088650 24083238 34632975 36124857 40138730 41559570 52180349 60208095 69265950 72249714 100346825 103898925 104360698 120416190 156541047 180624285 200693650 207797850 260901745 301040475 313082094 361248570 469623141 521803490 602080950 782705235 903121425 939246282 1304508725 1565410470 1806242850 2348115705 2609017450 3913526175 4696231410 7827052350 11740578525 23481157050