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8078013000 = 233253897557
BaseRepresentation
bin1111000010111110…
…01011001001001000
3202211222012120121200
413201133023021020
5113020432404000
63413323504200
7404115656211
oct74137131110
922758176550
108078013000
113475911802
121695388060
139b9758c65
14568bb4408
153242aa500
hex1e17cb248

8078013000 has 96 divisors (see below), whose sum is σ = 27303714360. Its totient is φ = 2154134400.

The previous prime is 8078012993. The next prime is 8078013019. The reversal of 8078013000 is 3108708.

It can be written as a sum of positive squares in 4 ways, for example, as 620308836 + 7457704164 = 24906^2 + 86358^2 .

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, 439779 + ... + 457778.

Almost surely, 28078013000 is an apocalyptic number.

It is an amenable number.

8078013000 is an abundant number, since it is smaller than the sum of its proper divisors (19225701360).

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

8078013000 is a wasteful number, since it uses less digits than its factorization.

8078013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897584 (or 897567 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 8078013000 is about 89877.7669949582. The cubic root of 8078013000 is about 2006.4800650364.

The spelling of 8078013000 in words is "eight billion, seventy-eight million, thirteen thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 897557 1795114 2692671 3590228 4487785 5385342 7180456 8078013 8975570 10770684 13463355 16156026 17951140 21541368 22438925 26926710 32312052 35902280 40390065 44877850 53853420 64624104 67316775 80780130 89755700 107706840 112194625 134633550 161560260 179511400 201950325 224389250 269267100 323120520 336583875 403900650 448778500 538534200 673167750 807801300 897557000 1009751625 1346335500 1615602600 2019503250 2692671000 4039006500 8078013000