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5577287317056 = 2634721310511607
BaseRepresentation
bin101000100101001000000…
…1110101011011001000000
3201202011221202001100020000
41101022100032223121000
51212334241023121211
615510100451120000
71113642243664500
oct121122016533100
921664852040200
105577287317056
111860350322204
12760aba2a3000
13315c2233c5c0
14153d2936da00
159a1285d5656
hex512903ab640

5577287317056 has 840 divisors, whose sum is σ = 20744060331456. Its totient is φ = 1468618905600.

The previous prime is 5577287317051. The next prime is 5577287317067. The reversal of 5577287317056 is 6507137827755.

5577287317056 is a `hidden beast` number, since 5 + 577 + 2 + 8 + 7 + 3 + 1 + 7 + 0 + 56 = 666.

It is a super-2 number, since 2×55772873170562 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 5577287316984 and 5577287317002.

It is not an unprimeable number, because it can be changed into a prime (5577287317051) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3470619805 + ... + 3470621411.

Almost surely, 25577287317056 is an apocalyptic number.

5577287317056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5577287317056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10372030165728).

5577287317056 is an abundant number, since it is smaller than the sum of its proper divisors (15166773014400).

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

5577287317056 is a wasteful number, since it uses less digits than its factorization.

5577287317056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2709 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 86436000, while the sum is 63.

The spelling of 5577287317056 in words is "five trillion, five hundred seventy-seven billion, two hundred eighty-seven million, three hundred seventeen thousand, fifty-six".