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1063417056 = 253133127487
BaseRepresentation
bin111111011000100…
…111010011100000
32202010000011221220
4333120213103200
54134213321211
6253304415040
735231616162
oct7730472340
92663004856
101063417056
114a62a8a79
12258177480
1313c412580
14a1338932
156355b806
hex3f6274e0

1063417056 has 96 divisors (see below), whose sum is σ = 3103285248. Its totient is φ = 316638720.

The previous prime is 1063417051. The next prime is 1063417057. The reversal of 1063417056 is 6507143601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10634170562 = 2261711669983414272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1063417051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24945 + ... + 52431.

It is an arithmetic number, because the mean of its divisors is an integer number (32325888).

Almost surely, 21063417056 is an apocalyptic number.

1063417056 is a gapful number since it is divisible by the number (16) 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 1063417056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551642624).

1063417056 is an abundant number, since it is smaller than the sum of its proper divisors (2039868192).

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

1063417056 is a wasteful number, since it uses less digits than its factorization.

1063417056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27544 (or 27536 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 1063417056 is about 32610.0759888719. The cubic root of 1063417056 is about 1020.7072680214.

The spelling of 1063417056 in words is "one billion, sixty-three million, four hundred seventeen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 372 403 416 496 624 744 806 992 1209 1248 1488 1612 2418 2976 3224 4836 6448 9672 12896 19344 27487 38688 54974 82461 109948 164922 219896 329844 357331 439792 659688 714662 852097 879584 1071993 1319376 1429324 1704194 2143986 2556291 2638752 2858648 3408388 4287972 5112582 5717296 6816776 8575944 10225164 11077261 11434592 13633552 17151888 20450328 22154522 27267104 33231783 34303776 40900656 44309044 66463566 81801312 88618088 132927132 177236176 265854264 354472352 531708528 1063417056