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8130475136 = 27721968227
BaseRepresentation
bin1111001001001110…
…10011010010000000
3202222121220221010202
413210213103102000
5113122400201021
63422440144332
7405323620100
oct74447232200
922877827122
108130475136
1134a2494343
1216aaa680a8
139c7596c44
14571b4d200
15328bbea0b
hex1e49d3480

8130475136 has 96 divisors (see below), whose sum is σ = 19833879600. Its totient is φ = 3301046784.

The previous prime is 8130475109. The next prime is 8130475147. The reversal of 8130475136 is 6315740318.

It is a super-2 number, since 2×81304751362 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 8130475136.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85055 + ... + 153281.

Almost surely, 28130475136 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 8130475136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9916939800).

8130475136 is an abundant number, since it is smaller than the sum of its proper divisors (11703404464).

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

8130475136 is a wasteful number, since it uses less digits than its factorization.

8130475136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68274 (or 68255 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 8130475136 is about 90169.1473620551. The cubic root of 8130475136 is about 2010.8143475486.

The spelling of 8130475136 in words is "eight billion, one hundred thirty million, four hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 128 133 152 196 224 266 304 392 448 532 608 784 896 931 1064 1216 1568 1862 2128 2432 3136 3724 4256 6272 7448 8512 14896 17024 29792 59584 68227 119168 136454 272908 477589 545816 955178 1091632 1296313 1910356 2183264 2592626 3343123 3820712 4366528 5185252 6686246 7641424 8733056 9074191 10370504 13372492 15282848 18148382 20741008 26744984 30565696 36296764 41482016 53489968 61131392 63519337 72593528 82964032 106979936 127038674 145187056 165928064 213959872 254077348 290374112 427919744 508154696 580748224 1016309392 1161496448 2032618784 4065237568 8130475136