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8190307872 = 253417185873
BaseRepresentation
bin1111010000010111…
…00010111000100000
3210010210111202020000
413220023202320200
5113233204322442
63432414420000
7406651316415
oct75013427040
923123452200
108190307872
11352324058a
121706b01600
13a06ab5a26
14579a8610c
1532e08cd4c
hex1e82e2e20

8190307872 has 120 divisors (see below), whose sum is σ = 25504515036. Its totient is φ = 2569494528.

The previous prime is 8190307871. The next prime is 8190307907. The reversal of 8190307872 is 2787030918.

It can be written as a sum of positive squares in 2 ways, for example, as 7722191376 + 468116496 = 87876^2 + 21636^2 .

It is a super-2 number, since 2×81903078722 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (8190307871) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48873 + ... + 137000.

Almost surely, 28190307872 is an apocalyptic number.

It is an amenable number.

8190307872 is an abundant number, since it is smaller than the sum of its proper divisors (17314207164).

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

8190307872 is a wasteful number, since it uses less digits than its factorization.

8190307872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185912 (or 185895 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 8190307872 is about 90500.3197342418. The cubic root of 8190307872 is about 2015.7348715965.

The spelling of 8190307872 in words is "eight billion, one hundred ninety million, three hundred seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 272 288 306 324 408 432 459 544 612 648 816 864 918 1224 1296 1377 1632 1836 2448 2592 2754 3672 4896 5508 7344 11016 14688 22032 44064 185873 371746 557619 743492 1115238 1486984 1672857 2230476 2973968 3159841 3345714 4460952 5018571 5947936 6319682 6691428 8921904 9479523 10037142 12639364 13382856 15055713 17843808 18959046 20074284 25278728 26765712 28438569 30111426 37918092 40148568 50557456 53531424 56877138 60222852 75836184 80297136 85315707 101114912 113754276 120445704 151672368 160594272 170631414 227508552 240891408 255947121 303344736 341262828 455017104 481782816 511894242 682525656 910034208 1023788484 1365051312 2047576968 2730102624 4095153936 8190307872