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8157206340 = 22325345713109
BaseRepresentation
bin1111001100011010…
…10001011101000100
3210001111020000110100
413212031101131010
5113201221100330
63425233124100
7406100052453
oct74615213504
923044200410
108157206340
113506591948
1216b79b9630
139ccc9611a
1457550ab9a
1532b200060
hex1e6351744

8157206340 has 72 divisors (see below), whose sum is σ = 24752571480. Its totient is φ = 2174459904.

The previous prime is 8157206329. The next prime is 8157206341. The reversal of 8157206340 is 436027518.

8157206340 is a `hidden beast` number, since 8 + 15 + 7 + 2 + 0 + 634 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39917124 + 8117289216 = 6318^2 + 90096^2 .

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 = 8157206295 and 8157206304.

It is not an unprimeable number, because it can be changed into a prime (8157206341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 615706 + ... + 628814.

It is an arithmetic number, because the mean of its divisors is an integer number (343785715).

Almost surely, 28157206340 is an apocalyptic number.

It is an amenable number.

8157206340 is an abundant number, since it is smaller than the sum of its proper divisors (16595365140).

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

8157206340 is a wasteful number, since it uses less digits than its factorization.

8157206340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16581 (or 16576 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 8157206340 is about 90317.2538333623. The cubic root of 8157206340 is about 2013.0156411313.

The spelling of 8157206340 in words is "eight billion, one hundred fifty-seven million, two hundred six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3457 6914 10371 13109 13828 17285 20742 26218 31113 34570 39327 41484 51855 52436 62226 65545 69140 78654 103710 117981 124452 131090 155565 157308 196635 207420 235962 262180 311130 393270 471924 589905 622260 786540 1179810 2359620 45317813 90635626 135953439 181271252 226589065 271906878 407860317 453178130 543813756 679767195 815720634 906356260 1359534390 1631441268 2039301585 2719068780 4078603170 8157206340