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5577376656 = 2433123915683
BaseRepresentation
bin1010011000111000…
…00000001110010000
3112101200211002102210
411030130000032100
542410302023111
62321234312120
7255132630225
oct51434001620
915350732383
105577376656
1124023136a5
1210b7a28640
136ab665c97
143aca3994c
152299a60a6
hex14c700390

5577376656 has 80 divisors (see below), whose sum is σ = 14936186880. Its totient is φ = 1791511680.

The previous prime is 5577376631. The next prime is 5577376663. The reversal of 5577376656 is 6566737755.

It is a super-2 number, since 2×55773766562 = 62214260725787484672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5577376596 and 5577376605.

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 15 ways as a sum of consecutive naturals, for example, 347791 + ... + 363473.

It is an arithmetic number, because the mean of its divisors is an integer number (186702336).

Almost surely, 25577376656 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 5577376656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7468093440).

5577376656 is an abundant number, since it is smaller than the sum of its proper divisors (9358810224).

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

5577376656 is a wasteful number, since it uses less digits than its factorization.

5577376656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15964 (or 15958 counting only the distinct ones).

The product of its digits is 27783000, while the sum is 57.

The square root of 5577376656 is about 74681.8361852465. The cubic root of 5577376656 is about 1773.4134238738.

The spelling of 5577376656 in words is "five billion, five hundred seventy-seven million, three hundred seventy-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 239 248 372 478 496 717 744 956 1434 1488 1912 2868 3824 5736 7409 11472 14818 15683 22227 29636 31366 44454 47049 59272 62732 88908 94098 118544 125464 177816 188196 250928 355632 376392 486173 752784 972346 1458519 1944692 2917038 3748237 3889384 5834076 7496474 7778768 11244711 11668152 14992948 22489422 23336304 29985896 44978844 59971792 89957688 116195347 179915376 232390694 348586041 464781388 697172082 929562776 1394344164 1859125552 2788688328 5577376656