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2764146132 = 2232116980167
BaseRepresentation
bin1010010011000001…
…1000010111010100
321010122020011122200
42210300120113110
521130110134012
61134141124500
7125332566036
oct24460302724
97118204580
102764146132
1111993199a0
12651859730
13350885937
141c316dc56
15112a063dc
hexa4c185d4

2764146132 has 36 divisors (see below), whose sum is σ = 7622343456. Its totient is φ = 837619920.

The previous prime is 2764146109. The next prime is 2764146137. The reversal of 2764146132 is 2316414672.

2764146132 is a `hidden beast` number, since 2 + 7 + 641 + 4 + 6 + 1 + 3 + 2 = 666.

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

It is a super-2 number, since 2×27641461322 = 15281007678101122848, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2764146137) by changing a digit.

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, 3489688 + ... + 3490479.

Almost surely, 22764146132 is an apocalyptic number.

2764146132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2764146132 is an abundant number, since it is smaller than the sum of its proper divisors (4858197324).

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

2764146132 is a wasteful number, since it uses less digits than its factorization.

2764146132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6980188 (or 6980183 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 2764146132 is about 52575.1474748288. The cubic root of 2764146132 is about 1403.4178620058.

The spelling of 2764146132 in words is "two billion, seven hundred sixty-four million, one hundred forty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 6980167 13960334 20940501 27920668 41881002 62821503 76781837 83762004 125643006 153563674 230345511 251286012 307127348 460691022 691036533 921382044 1382073066 2764146132