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1152117816 = 233538910177
BaseRepresentation
bin100010010101011…
…1110110000111000
32222021220122112020
41010222332300320
54324420232231
6310153514440
740356561033
oct10452766070
92867818466
101152117816
11541382193
12281a12a20
131548cb025
14ad02801a
156b22d396
hex44abec38

1152117816 has 64 divisors (see below), whose sum is σ = 2967904800. Its totient is φ = 372523008.

The previous prime is 1152117793. The next prime is 1152117823. The reversal of 1152117816 is 6187112511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108120 + ... + 118296.

Almost surely, 21152117816 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 1152117816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483952400).

1152117816 is an abundant number, since it is smaller than the sum of its proper divisors (1815786984).

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

1152117816 is a wasteful number, since it uses less digits than its factorization.

1152117816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10328 (or 10324 counting only the distinct ones).

The product of its digits is 3360, while the sum is 33.

The square root of 1152117816 is about 33942.8610461758. The cubic root of 1152117816 is about 1048.3322931862.

The spelling of 1152117816 in words is "one billion, one hundred fifty-two million, one hundred seventeen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 53 89 106 159 178 212 267 318 356 424 534 636 712 1068 1272 2136 4717 9434 10177 14151 18868 20354 28302 30531 37736 40708 56604 61062 81416 113208 122124 244248 539381 905753 1078762 1618143 1811506 2157524 2717259 3236286 3623012 4315048 5434518 6472572 7246024 10869036 12945144 21738072 48004909 96009818 144014727 192019636 288029454 384039272 576058908 1152117816