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5117270368 = 257172358427
BaseRepresentation
bin1001100010000001…
…10101100101100000
3111012122001021021011
410301000311211200
540440010122433
62203440510304
7240545036410
oct46100654540
914178037234
105117270368
112196624a71
12ba991b394
1363723b242
143678aa640
151ee3bd3cd
hex131035960

5117270368 has 96 divisors (see below), whose sum is σ = 12721411584. Its totient is φ = 1974331392.

The previous prime is 5117270359. The next prime is 5117270369. The reversal of 5117270368 is 8630727115.

It is a self number, because there is not a number n which added to its sum of digits gives 5117270368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5117270369) 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, 58371 + ... + 116797.

It is an arithmetic number, because the mean of its divisors is an integer number (132514704).

Almost surely, 25117270368 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 5117270368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6360705792).

5117270368 is an abundant number, since it is smaller than the sum of its proper divisors (7604141216).

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

5117270368 is a wasteful number, since it uses less digits than its factorization.

5117270368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58484 (or 58476 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 5117270368 is about 71535.0988536397. The cubic root of 5117270368 is about 1723.2414051889.

The spelling of 5117270368 in words is "five billion, one hundred seventeen million, two hundred seventy thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 17 23 28 32 34 46 56 68 92 112 119 136 161 184 224 238 272 322 368 391 476 544 644 736 782 952 1288 1564 1904 2576 2737 3128 3808 5152 5474 6256 10948 12512 21896 43792 58427 87584 116854 233708 408989 467416 817978 934832 993259 1343821 1635956 1869664 1986518 2687642 3271912 3973036 5375284 6543824 6952813 7946072 9406747 10750568 13087648 13905626 15892144 18813494 21501136 22844957 27811252 31784288 37626988 43002272 45689914 55622504 75253976 91379828 111245008 150507952 159914699 182759656 222490016 301015904 319829398 365519312 639658796 731038624 1279317592 2558635184 5117270368