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5312600406 = 233293467719
BaseRepresentation
bin1001111001010011…
…11101100101010110
3111201020121001201000
410330221331211112
541340011203111
62235055244130
7245436233631
oct47451754526
914636531630
105312600406
112286908353
121043219646
1366884ba49
143857d4c18
15211603c56
hex13ca7d956

5312600406 has 64 divisors (see below), whose sum is σ = 11887948800. Its totient is φ = 1758594528.

The previous prime is 5312600399. The next prime is 5312600407. The reversal of 5312600406 is 6040062135.

5312600406 is a `hidden beast` number, since 5 + 3 + 12 + 600 + 40 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 5312600406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5312600407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7388515 + ... + 7389233.

It is an arithmetic number, because the mean of its divisors is an integer number (185749200).

Almost surely, 25312600406 is an apocalyptic number.

5312600406 is an abundant number, since it is smaller than the sum of its proper divisors (6575348394).

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

5312600406 is a wasteful number, since it uses less digits than its factorization.

5312600406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5312600406 is about 72887.5874617894. The cubic root of 5312600406 is about 1744.8940043936.

The spelling of 5312600406 in words is "five billion, three hundred twelve million, six hundred thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 54 293 467 586 719 879 934 1401 1438 1758 2157 2637 2802 4203 4314 5274 6471 7911 8406 12609 12942 15822 19413 25218 38826 136831 210667 273662 335773 410493 421334 632001 671546 820986 1007319 1231479 1264002 1896003 2014638 2462958 3021957 3694437 3792006 5688009 6043914 7388874 9065871 11376018 18131742 98381489 196762978 295144467 590288934 885433401 1770866802 2656300203 5312600406