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5977849864 = 237223365449
BaseRepresentation
bin1011001000100111…
…01100000000001000
3120102121101020101211
411210103230000020
544220312143424
62425102022504
7301064612500
oct54423540010
916377336354
105977849864
112598382098
1211a9b77a34
13743611a8c
14409cc4a00
1524ec0eb94
hex1644ec008

5977849864 has 48 divisors (see below), whose sum is σ = 13094581500. Its totient is φ = 2550901248.

The previous prime is 5977849849. The next prime is 5977849873. The reversal of 5977849864 is 4689487795.

It can be written as a sum of positive squares in 2 ways, for example, as 5935469764 + 42380100 = 77042^2 + 6510^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5977849864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58612 + ... + 124060.

Almost surely, 25977849864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5977849864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6547290750).

5977849864 is an abundant number, since it is smaller than the sum of its proper divisors (7116731636).

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

5977849864 is a wasteful number, since it uses less digits than its factorization.

5977849864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65702 (or 65691 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 67.

The square root of 5977849864 is about 77316.5562088742. The cubic root of 5977849864 is about 1814.8817539653.

The spelling of 5977849864 in words is "five billion, nine hundred seventy-seven million, eight hundred forty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 233 392 466 932 1631 1864 3262 6524 11417 13048 22834 45668 65449 91336 130898 261796 458143 523592 916286 1832572 3207001 3665144 6414002 12828004 15249617 25656008 30499234 60998468 106747319 121996936 213494638 426989276 747231233 853978552 1494462466 2988924932 5977849864