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45019733472 = 2533717437867
BaseRepresentation
bin101001111011011000…
…101001110111100000
311022012111120102022000
4221323120221313200
51214200022432342
632403133044000
73152426264160
oct517330516740
9138174512260
1045019733472
11181025140aa
128885026600
13432603015c
1422711285a0
15128753a44c
hexa7b629de0

45019733472 has 192 divisors, whose sum is σ = 158893539840. Its totient is φ = 12106119168.

The previous prime is 45019733467. The next prime is 45019733497. The reversal of 45019733472 is 27433791054.

45019733472 is a `hidden beast` number, since 4 + 501 + 9 + 73 + 3 + 4 + 72 = 666.

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 31 ways as a sum of consecutive naturals, for example, 116118 + ... + 321749.

It is an arithmetic number, because the mean of its divisors is an integer number (827570520).

Almost surely, 245019733472 is an apocalyptic number.

45019733472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

45019733472 is an abundant number, since it is smaller than the sum of its proper divisors (113873806368).

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

45019733472 is a wasteful number, since it uses less digits than its factorization.

45019733472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437910 (or 437896 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 45019733472 in words is "forty-five billion, nineteen million, seven hundred thirty-three thousand, four hundred seventy-two".