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8113500432 = 243421612897
BaseRepresentation
bin1111000111001101…
…00011000100010000
3202221102222112020000
413203212203010100
5113104024003212
63421032250000
7405026421132
oct74346430420
922842875200
108113500432
11349394aa64
1216a5240900
139c3c0283b
1456d7b1052
1532746a1dc
hex1e39a3110

8113500432 has 100 divisors (see below), whose sum is σ = 23501800476. Its totient is φ = 2702315520.

The previous prime is 8113500419. The next prime is 8113500467. The reversal of 8113500432 is 2340053118.

It is a happy number.

8113500432 is a `hidden beast` number, since 8 + 113 + 500 + 43 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2804337936 + 5309162496 = 52956^2 + 72864^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 8113500396 and 8113500405.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2799208 + ... + 2802104.

Almost surely, 28113500432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8113500432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11750900238).

8113500432 is an abundant number, since it is smaller than the sum of its proper divisors (15388300044).

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

8113500432 is a wasteful number, since it uses less digits than its factorization.

8113500432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5078 (or 5063 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 8113500432 is about 90074.9711740170. The cubic root of 8113500432 is about 2009.4139882214.

The spelling of 8113500432 in words is "eight billion, one hundred thirteen million, five hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 2161 2897 4322 5794 6483 8644 8691 11588 12966 17288 17382 19449 23176 25932 26073 34576 34764 38898 46352 51864 52146 58347 69528 77796 78219 103728 104292 116694 139056 155592 156438 175041 208584 233388 234657 311184 312876 350082 417168 466776 469314 625752 700164 933552 938628 1251504 1400328 1877256 2800656 3754512 6260417 12520834 18781251 25041668 37562502 50083336 56343753 75125004 100166672 112687506 150250008 169031259 225375012 300500016 338062518 450750024 507093777 676125036 901500048 1014187554 1352250072 2028375108 2704500144 4056750216 8113500432