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45345498804 = 22323493609161
BaseRepresentation
bin101010001110110011…
…010110011010110100
311100001012120000022200
4222032303112122310
51220331421430204
632455331224500
73163463244264
oct521663263264
9140035500280
1045345498804
111825a396451
128956148130
13437867c5c8
1422a24c77a4
1512a5e38539
hexa8ecd66b4

45345498804 has 36 divisors (see below), whose sum is σ = 114951809700. Its totient is φ = 15071852160.

The previous prime is 45345498799. The next prime is 45345498817. The reversal of 45345498804 is 40889454354.

45345498804 is a `hidden beast` number, since 45 + 34 + 5 + 498 + 80 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28189738404 + 17155760400 = 167898^2 + 130980^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1792017 + ... + 1817144.

It is an arithmetic number, because the mean of its divisors is an integer number (3193105825).

Almost surely, 245345498804 is an apocalyptic number.

It is an amenable number.

45345498804 is an abundant number, since it is smaller than the sum of its proper divisors (69606310896).

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

45345498804 is a wasteful number, since it uses less digits than its factorization.

45345498804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609520 (or 3609515 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 45345498804 in words is "forty-five billion, three hundred forty-five million, four hundred ninety-eight thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 349 698 1047 1396 2094 3141 4188 6282 12564 3609161 7218322 10827483 14436644 21654966 32482449 43309932 64964898 129929796 1259597189 2519194378 3778791567 5038388756 7557583134 11336374701 15115166268 22672749402 45345498804