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4564106532 = 2232281451177
BaseRepresentation
bin1000100000000101…
…01011110100100100
3102210002011122010200
410100002223310210
533321402402112
62032520350500
7221050160016
oct42002536444
912702148120
104564106532
111a32356877
12a74615430
1357976096b
143142361b6
151baa52cdc
hex1100abd24

4564106532 has 36 divisors (see below), whose sum is σ = 11578129836. Its totient is φ = 1515951360.

The previous prime is 4564106513. The next prime is 4564106539. The reversal of 4564106532 is 2356014654.

4564106532 is a `hidden beast` number, since 4 + 5 + 641 + 0 + 6 + 5 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2697348096 + 1866758436 = 51936^2 + 43206^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (4564106539) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215473 + ... + 235704.

Almost surely, 24564106532 is an apocalyptic number.

It is an amenable number.

4564106532 is an abundant number, since it is smaller than the sum of its proper divisors (7014023304).

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

4564106532 is a wasteful number, since it uses less digits than its factorization.

4564106532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451468 (or 451463 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 4564106532 is about 67558.1714672622. The cubic root of 4564106532 is about 1658.7665066020.

The spelling of 4564106532 in words is "four billion, five hundred sixty-four million, one hundred six thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 281 562 843 1124 1686 2529 3372 5058 10116 451177 902354 1353531 1804708 2707062 4060593 5414124 8121186 16242372 126780737 253561474 380342211 507122948 760684422 1141026633 1521368844 2282053266 4564106532