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5144010768 = 2432132747869
BaseRepresentation
bin1001100101001101…
…10110000000010000
3111021111100211012100
410302212312000100
541013331321033
62210234000400
7241321240641
oct46246660020
914244324170
105144010768
1121aa729476
12bb6876100
1363c941670
1436b26b6c8
15201901513
hex1329b6010

5144010768 has 60 divisors (see below), whose sum is σ = 15503482540. Its totient is φ = 1582771968.

The previous prime is 5144010721. The next prime is 5144010779. The reversal of 5144010768 is 8670104415.

It is a happy number.

5144010768 is a `hidden beast` number, since 51 + 440 + 107 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1841439744 + 3302571024 = 42912^2 + 57468^2 .

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, 1372063 + ... + 1375806.

Almost surely, 25144010768 is an apocalyptic number.

It is an amenable number.

5144010768 is an abundant number, since it is smaller than the sum of its proper divisors (10359471772).

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

5144010768 is a wasteful number, since it uses less digits than its factorization.

5144010768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2747896 (or 2747887 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5144010768 is about 71721.7593760778. The cubic root of 5144010768 is about 1726.2378029485.

The spelling of 5144010768 in words is "five billion, one hundred forty-four million, ten thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 2747869 5495738 8243607 10991476 16487214 21982952 24730821 32974428 35722297 43965904 49461642 65948856 71444594 98923284 107166891 131897712 142889188 197846568 214333782 285778376 321500673 395693136 428667564 571556752 643001346 857335128 1286002692 1714670256 2572005384 5144010768