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6130347456 = 263259112323
BaseRepresentation
bin1011011010110010…
…11010110111000000
3120211020022220202210
411231121122313000
5100023332104311
62452150342120
7304626044052
oct55531326700
916736286683
106130347456
11266646a862
12123105a940
137690a673c
1442225d8d2
1525d2d43a6
hex16d65adc0

6130347456 has 56 divisors (see below), whose sum is σ = 16227454464. Its totient is φ = 2042494720.

The previous prime is 6130347413. The next prime is 6130347467. The reversal of 6130347456 is 6547430316.

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 7 ways as a sum of consecutive naturals, for example, 491311 + ... + 503633.

Almost surely, 26130347456 is an apocalyptic number.

It is an amenable number.

6130347456 is an abundant number, since it is smaller than the sum of its proper divisors (10097107008).

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

6130347456 is a wasteful number, since it uses less digits than its factorization.

6130347456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14929 (or 14919 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 6130347456 is about 78296.5354022769. The cubic root of 6130347456 is about 1830.1851620700.

The spelling of 6130347456 in words is "six billion, one hundred thirty million, three hundred forty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 2591 5182 7773 10364 12323 15546 20728 24646 31092 36969 41456 49292 62184 73938 82912 98584 124368 147876 165824 197168 248736 295752 394336 497472 591504 788672 1183008 2366016 31928893 63857786 95786679 127715572 191573358 255431144 383146716 510862288 766293432 1021724576 1532586864 2043449152 3065173728 6130347456