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8161408520 = 2352953132749
BaseRepresentation
bin1111001100111010…
…10011011000001000
3210001210010111202122
413212131103120020
5113203310033040
63425503150412
7406150553636
oct74635233010
923053114678
108161408520
1135089a2021
1216b92a5408
13a00b07a15
14575cc2356
1532b7801b5
hex1e6753608

8161408520 has 64 divisors (see below), whose sum is σ = 19354950000. Its totient is φ = 3092497408.

The previous prime is 8161408517. The next prime is 8161408529. The reversal of 8161408520 is 258041618.

It can be written as a sum of positive squares in 8 ways, for example, as 5828711716 + 2332696804 = 76346^2 + 48298^2 .

It is not an unprimeable number, because it can be changed into a prime (8161408529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4895 + ... + 127854.

Almost surely, 28161408520 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 8161408520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9677475000).

8161408520 is an abundant number, since it is smaller than the sum of its proper divisors (11193541480).

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

8161408520 is a wasteful number, since it uses less digits than its factorization.

8161408520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132842 (or 132838 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 8161408520 is about 90340.5142779252. The cubic root of 8161408520 is about 2013.3612497287.

The spelling of 8161408520 in words is "eight billion, one hundred sixty-one million, four hundred eight thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 53 58 106 116 145 212 232 265 290 424 530 580 1060 1160 1537 2120 3074 6148 7685 12296 15370 30740 61480 132749 265498 530996 663745 1061992 1327490 2654980 3849721 5309960 7035697 7699442 14071394 15398884 19248605 28142788 30797768 35178485 38497210 56285576 70356970 76994420 140713940 153988840 204035213 281427880 408070426 816140852 1020176065 1632281704 2040352130 4080704260 8161408520