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5077413616 = 24113317691
BaseRepresentation
bin1001011101010001…
…10010111011110000
3111002212001100002011
410232220302323300
540344304213431
62155454332304
7236552206102
oct45650627360
914085040064
105077413616
112176082000
12b984ba094
1362bbc4972
14362493572
151eab48cb1
hex12ea32ef0

5077413616 has 80 divisors (see below), whose sum is σ = 11170999296. Its totient is φ = 2233176000.

The previous prime is 5077413611. The next prime is 5077413617. The reversal of 5077413616 is 6163147705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5077413611) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 656331 + ... + 664021.

Almost surely, 25077413616 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 5077413616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5585499648).

5077413616 is an abundant number, since it is smaller than the sum of its proper divisors (6093585680).

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

5077413616 is a wasteful number, since it uses less digits than its factorization.

5077413616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7763 (or 7735 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 5077413616 is about 71255.9724935391. The cubic root of 5077413616 is about 1718.7558173670.

The spelling of 5077413616 in words is "five billion, seventy-seven million, four hundred thirteen thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 121 124 176 242 248 341 484 496 682 968 1331 1364 1936 2662 2728 3751 5324 5456 7502 7691 10648 15004 15382 21296 30008 30764 41261 60016 61528 82522 84601 123056 165044 169202 238421 330088 338404 476842 660176 676808 930611 953684 1353616 1861222 1907368 2622631 3722444 3814736 5245262 7444888 10236721 10490524 14889776 20473442 20981048 28848941 40946884 41962096 57697882 81893768 115395764 163787536 230791528 317338351 461583056 634676702 1269353404 2538706808 5077413616