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1328815116 = 2232307120233
BaseRepresentation
bin100111100110100…
…0001110000001100
310102121101210122200
41033031001300030
510210134040431
6335505041500
744633512356
oct11715016014
93377353580
101328815116
11622099512
12311026290
131823b6845
14c86a20d6
157b9d2ee6
hex4f341c0c

1328815116 has 36 divisors (see below), whose sum is σ = 3369918552. Its totient is φ = 441491904.

The previous prime is 1328815109. The next prime is 1328815121. The reversal of 1328815116 is 6115188231.

1328815116 is a `hidden beast` number, since 132 + 8 + 8 + 1 + 511 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×13288151162 = 3531499225020186912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49065 + ... + 71168.

Almost surely, 21328815116 is an apocalyptic number.

It is an amenable number.

1328815116 is an abundant number, since it is smaller than the sum of its proper divisors (2041103436).

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

1328815116 is a wasteful number, since it uses less digits than its factorization.

1328815116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120550 (or 120545 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 1328815116 is about 36452.9164265358. The cubic root of 1328815116 is about 1099.3977739358.

The spelling of 1328815116 in words is "one billion, three hundred twenty-eight million, eight hundred fifteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 307 614 921 1228 1842 2763 3684 5526 11052 120233 240466 360699 480932 721398 1082097 1442796 2164194 4328388 36911531 73823062 110734593 147646124 221469186 332203779 442938372 664407558 1328815116