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5131626840 = 2332514254519
BaseRepresentation
bin1001100011101111…
…00110100101011000
3111020122001122122100
410301313212211120
541002144024330
62205112323400
7241111052124
oct46167464530
914218048570
105131626840
1121a374021a
12bb26a3560
1363a1c69b2
14369766584
152007a7060
hex131de6958

5131626840 has 48 divisors (see below), whose sum is σ = 16677788400. Its totient is φ = 1368433728.

The previous prime is 5131626781. The next prime is 5131626931. The reversal of 5131626840 is 486261315.

It is a happy number.

5131626840 is a `hidden beast` number, since 513 + 1 + 62 + 6 + 84 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5131626795 and 5131626804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7126900 + ... + 7127619.

It is an arithmetic number, because the mean of its divisors is an integer number (347453925).

Almost surely, 25131626840 is an apocalyptic number.

It is an amenable number.

5131626840 is an abundant number, since it is smaller than the sum of its proper divisors (11546161560).

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

5131626840 is a wasteful number, since it uses less digits than its factorization.

5131626840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14254536 (or 14254529 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5131626840 is about 71635.3742225166. The cubic root of 5131626840 is about 1724.8514150531.

The spelling of 5131626840 in words is "five billion, one hundred thirty-one million, six hundred twenty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 14254519 28509038 42763557 57018076 71272595 85527114 114036152 128290671 142545190 171054228 213817785 256581342 285090380 342108456 427635570 513162684 570180760 641453355 855271140 1026325368 1282906710 1710542280 2565813420 5131626840