Search a number
-
+
113525632512 = 29338212213
BaseRepresentation
bin110100110111010100…
…1111010111000000000
3101212000210111122222000
41221232221322320000
53330000030220022
6124053012144000
711126161645305
oct1515651727000
9355023448860
10113525632512
1144167294a96
121a003608000
13a922a6c5a6
1456cd5350ac
152e468b96ac
hex1a6ea7ae00

113525632512 has 80 divisors (see below), whose sum is σ = 336043796880. Its totient is φ = 37841872896.

The previous prime is 113525632501. The next prime is 113525632513. The reversal of 113525632512 is 215236525311.

113525632512 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 2 + 5 + 632 + 5 + 12 = 666.

113525632512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113525632513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4092283 + ... + 4119930.

It is an arithmetic number, because the mean of its divisors is an integer number (4200547461).

Almost surely, 2113525632512 is an apocalyptic number.

113525632512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113525632512 is an abundant number, since it is smaller than the sum of its proper divisors (222518164368).

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

113525632512 is an frugal number, since it uses more digits than its factorization.

113525632512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8212240 (or 8212218 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The spelling of 113525632512 in words is "one hundred thirteen billion, five hundred twenty-five million, six hundred thirty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 8212213 16424426 24636639 32848852 49273278 65697704 73909917 98546556 131395408 147819834 197093112 221729751 262790816 295639668 394186224 443459502 525581632 591279336 788372448 886919004 1051163264 1182558672 1576744896 1773838008 2102326528 2365117344 3153489792 3547676016 4204653056 4730234688 6306979584 7095352032 9460469376 12613959168 14190704064 18920938752 28381408128 37841877504 56762816256 113525632512