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5107153824 = 253271249763
BaseRepresentation
bin1001100000110100…
…01111101110100000
3111011221000021222100
410300122033232200
540424412410244
62202440010400
7240363043203
oct46032175640
914157007870
105107153824
112190945293
12ba6460a00
13635108616
143663d593a
151ed570b69
hex13068fba0

5107153824 has 72 divisors (see below), whose sum is σ = 14728083552. Its totient is φ = 1678400640.

The previous prime is 5107153819. The next prime is 5107153847. The reversal of 5107153824 is 4283517015.

5107153824 is a `hidden beast` number, since 51 + 0 + 71 + 538 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104434 + ... + 145329.

It is an arithmetic number, because the mean of its divisors is an integer number (204556716).

Almost surely, 25107153824 is an apocalyptic number.

It is an amenable number.

5107153824 is an abundant number, since it is smaller than the sum of its proper divisors (9620929728).

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

5107153824 is a wasteful number, since it uses less digits than its factorization.

5107153824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249850 (or 249839 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5107153824 is about 71464.3535197794. The cubic root of 5107153824 is about 1722.1050735740.

The spelling of 5107153824 in words is "five billion, one hundred seven million, one hundred fifty-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 284 288 426 568 639 852 1136 1278 1704 2272 2556 3408 5112 6816 10224 20448 249763 499526 749289 999052 1498578 1998104 2247867 2997156 3996208 4495734 5994312 7992416 8991468 11988624 17733173 17982936 23977248 35466346 35965872 53199519 70932692 71931744 106399038 141865384 159598557 212798076 283730768 319197114 425596152 567461536 638394228 851192304 1276788456 1702384608 2553576912 5107153824