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7117426816 = 27415325589
BaseRepresentation
bin1101010000011101…
…10101000010000000
3200101000200202002121
412220032311002000
5104034030124231
63134131054024
7341243062333
oct65016650200
920330622077
107117426816
113022669125
121467741314
1389573b876
144b73a661a
152b9cb2311
hex1a83b5080

7117426816 has 64 divisors (see below), whose sum is σ = 14799720600. Its totient is φ = 3406274560.

The previous prime is 7117426807. The next prime is 7117426831. The reversal of 7117426816 is 6186247117.

It can be written as a sum of positive squares in 4 ways, for example, as 6393601600 + 723825216 = 79960^2 + 26904^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×71174268162 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 265350 + ... + 290938.

Almost surely, 27117426816 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 7117426816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7399860300).

7117426816 is an abundant number, since it is smaller than the sum of its proper divisors (7682293784).

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

7117426816 is a wasteful number, since it uses less digits than its factorization.

7117426816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25697 (or 25685 counting only the distinct ones).

The product of its digits is 112896, while the sum is 43.

The square root of 7117426816 is about 84364.8434835270. The cubic root of 7117426816 is about 1923.5685600351.

The spelling of 7117426816 in words is "seven billion, one hundred seventeen million, four hundred twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 41 53 64 82 106 128 164 212 328 424 656 848 1312 1696 2173 2624 3392 4346 5248 6784 8692 17384 25589 34768 51178 69536 102356 139072 204712 278144 409424 818848 1049149 1356217 1637696 2098298 2712434 3275392 4196596 5424868 8393192 10849736 16786384 21699472 33572768 43398944 55604897 67145536 86797888 111209794 134291072 173595776 222419588 444839176 889678352 1779356704 3558713408 7117426816