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1004116656 = 24337565381
BaseRepresentation
bin111011110110011…
…001101010110000
32120222102102002210
4323312121222300
54024023213111
6243345412120
733611564544
oct7366315260
92528372083
101004116656
11475885784
1224033a040
1313004bb8a
14974dda24
155d2460a6
hex3bd99ab0

1004116656 has 40 divisors (see below), whose sum is σ = 2664079984. Its totient is φ = 325658880.

The previous prime is 1004116651. The next prime is 1004116697. The reversal of 1004116656 is 6566114001.

It is not an unprimeable number, because it can be changed into a prime (1004116651) 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 7 ways as a sum of consecutive naturals, for example, 280915 + ... + 284466.

Almost surely, 21004116656 is an apocalyptic number.

1004116656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1004116656 is an abundant number, since it is smaller than the sum of its proper divisors (1659963328).

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

1004116656 is a wasteful number, since it uses less digits than its factorization.

1004116656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565429 (or 565423 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1004116656 is about 31687.7997973984. The cubic root of 1004116656 is about 1001.3703399773.

The spelling of 1004116656 in words is "one billion, four million, one hundred sixteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 565381 1130762 1696143 2261524 3392286 4523048 6784572 9046096 13569144 20919097 27138288 41838194 62757291 83676388 125514582 167352776 251029164 334705552 502058328 1004116656