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1166158056 = 233729710223
BaseRepresentation
bin100010110000010…
…0010100011101000
310000021022222010010
41011200202203220
54342014024211
6311414451520
740620115500
oct10540424350
93007288103
101166158056
115492a1898
12286663ba0
131577a586b
14b0c40a00
156c5a34a6
hex458228e8

1166158056 has 96 divisors (see below), whose sum is σ = 3426675840. Its totient is φ = 329720832.

The previous prime is 1166158033. The next prime is 1166158067. The reversal of 1166158056 is 6508516611.

It is a super-2 number, since 2×11661580562 = 2719849223147398272, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 108961 + ... + 119183.

It is an arithmetic number, because the mean of its divisors is an integer number (35694540).

Almost surely, 21166158056 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 1166158056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713337920).

1166158056 is an abundant number, since it is smaller than the sum of its proper divisors (2260517784).

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

1166158056 is a wasteful number, since it uses less digits than its factorization.

1166158056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10343 (or 10332 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 1166158056 is about 34149.0564437731. The cubic root of 1166158056 is about 1052.5735979513.

The spelling of 1166158056 in words is "one billion, one hundred sixty-six million, one hundred fifty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 97 98 147 168 194 196 291 294 388 392 582 588 679 776 1164 1176 1358 2037 2328 2716 4074 4753 5432 8148 9506 10223 14259 16296 19012 20446 28518 30669 38024 40892 57036 61338 71561 81784 114072 122676 143122 214683 245352 286244 429366 500927 572488 858732 991631 1001854 1502781 1717464 1983262 2003708 2974893 3005562 3966524 4007416 5949786 6011124 6941417 7933048 11899572 12022248 13882834 20824251 23799144 27765668 41648502 48589919 55531336 83297004 97179838 145769757 166594008 194359676 291539514 388719352 583079028 1166158056