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8397853074 = 23213375318301
BaseRepresentation
bin1111101001000110…
…10001000110010010
3210200021001010201100
413310203101012102
5114144322244244
63505151045230
7415051400442
oct76443210622
923607033640
108397853074
11361a407346
121764510816
13a3aab2440
14599470122
153423d7b69
hex1f48d1192

8397853074 has 96 divisors (see below), whose sum is σ = 20505414384. Its totient is φ = 2466547200.

The previous prime is 8397853067. The next prime is 8397853117. The reversal of 8397853074 is 4703587938.

8397853074 is a `hidden beast` number, since 8 + 39 + 7 + 8 + 530 + 74 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2652971049 + 5744882025 = 51507^2 + 75795^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8397853074.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 449724 + ... + 468024.

Almost surely, 28397853074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8397853074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10252707192).

8397853074 is an abundant number, since it is smaller than the sum of its proper divisors (12107561310).

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

8397853074 is a wasteful number, since it uses less digits than its factorization.

8397853074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18412 (or 18409 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 8397853074 is about 91639.8007090805. The cubic root of 8397853074 is about 2032.6195141298.

The spelling of 8397853074 in words is "eight billion, three hundred ninety-seven million, eight hundred fifty-three thousand, seventy-four".

Divisors: 1 2 3 6 9 13 18 26 37 39 53 74 78 106 111 117 159 222 234 318 333 477 481 666 689 954 962 1378 1443 1961 2067 2886 3922 4134 4329 5883 6201 8658 11766 12402 17649 18301 25493 35298 36602 50986 54903 76479 109806 152958 164709 229437 237913 329418 458874 475826 677137 713739 969953 1354274 1427478 1939906 2031411 2141217 2909859 4062822 4282434 5819718 6094233 8729577 8802781 12188466 12609389 17459154 17605562 25218778 26408343 35888261 37828167 52816686 71776522 75656334 79225029 107664783 113484501 158450058 215329566 226969002 322994349 466547393 645988698 933094786 1399642179 2799284358 4198926537 8397853074