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8116730640 = 2432541274957
BaseRepresentation
bin1111000111100101…
…10111101100010000
3202221200001122020100
413203302313230100
5113110340340030
63421225412400
7405066033504
oct74362675420
922850048210
108116730640
113495756957
1216a633a100
139c4793bc5
1456ddb2304
153278a7360
hex1e3cb7b10

8116730640 has 120 divisors (see below), whose sum is σ = 27923634648. Its totient is φ = 2111662080.

The previous prime is 8116730617. The next prime is 8116730689. The reversal of 8116730640 is 460376118.

8116730640 is a `hidden beast` number, since 8 + 1 + 1 + 6 + 7 + 3 + 0 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 288728064 + 7828002576 = 16992^2 + 88476^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 8116730595 and 8116730604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107959 + ... + 166998.

Almost surely, 28116730640 is an apocalyptic number.

8116730640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8116730640 is an abundant number, since it is smaller than the sum of its proper divisors (19806904008).

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

8116730640 is a wasteful number, since it uses less digits than its factorization.

8116730640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275017 (or 275008 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 8116730640 is about 90092.9000532228. The cubic root of 8116730640 is about 2009.6806205253.

The spelling of 8116730640 in words is "eight billion, one hundred sixteen million, seven hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 41 45 48 60 72 80 82 90 120 123 144 164 180 205 240 246 328 360 369 410 492 615 656 720 738 820 984 1230 1476 1640 1845 1968 2460 2952 3280 3690 4920 5904 7380 9840 14760 29520 274957 549914 824871 1099828 1374785 1649742 2199656 2474613 2749570 3299484 4124355 4399312 4949226 5499140 6598968 8248710 9898452 10998280 11273237 12373065 13197936 16497420 19796904 21996560 22546474 24746130 32994840 33819711 39593808 45092948 49492260 56366185 65989680 67639422 90185896 98984520 101459133 112732370 135278844 169098555 180371792 197969040 202918266 225464740 270557688 338197110 405836532 450929480 507295665 541115376 676394220 811673064 901858960 1014591330 1352788440 1623346128 2029182660 2705576880 4058365320 8116730640