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8516149056 = 263321123357
BaseRepresentation
bin1111110111001101…
…00001111101000000
3210222111122012022000
413323212201331000
5114420113232211
63525014344000
7421016033622
oct77346417500
923874565260
108516149056
113680164918
12179805b000
13a5946086c
145ab064c12
1534c9a3656
hex1fb9a1f40

8516149056 has 112 divisors (see below), whose sum is σ = 25155631680. Its totient is φ = 2825141760.

The previous prime is 8516149043. The next prime is 8516149111. The reversal of 8516149056 is 6509416158.

8516149056 is a `hidden beast` number, since 8 + 51 + 61 + 490 + 56 = 666.

It is a super-2 number, since 2×85161490562 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352930 + ... + 376286.

Almost surely, 28516149056 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 8516149056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12577815840).

8516149056 is an abundant number, since it is smaller than the sum of its proper divisors (16639482624).

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

8516149056 is a wasteful number, since it uses less digits than its factorization.

8516149056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23589 (or 23573 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 8516149056 is about 92282.9835668527. The cubic root of 8516149056 is about 2042.1191818836.

The spelling of 8516149056 in words is "eight billion, five hundred sixteen million, one hundred forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 211 216 288 422 432 576 633 844 864 1266 1688 1728 1899 2532 3376 3798 5064 5697 6752 7596 10128 11394 13504 15192 20256 22788 23357 30384 40512 45576 46714 60768 70071 91152 93428 121536 140142 182304 186856 210213 280284 364608 373712 420426 560568 630639 747424 840852 1121136 1261278 1494848 1681704 2242272 2522556 3363408 4484544 4928327 5045112 6726816 9856654 10090224 13453632 14784981 19713308 20180448 29569962 39426616 40360896 44354943 59139924 78853232 88709886 118279848 133064829 157706464 177419772 236559696 266129658 315412928 354839544 473119392 532259316 709679088 946238784 1064518632 1419358176 2129037264 2838716352 4258074528 8516149056