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45817099328 = 26711131136329
BaseRepresentation
bin101010101010111010…
…010111010001000000
311101021001221210121202
4222222322113101000
51222313134134303
633014215240332
73211250630030
oct525272272100
9141231853552
1045817099328
1118481615950
128a680790a8
1344222a0080
142308da98c0
1512d2541c88
hexaaae97440

45817099328 has 224 divisors, whose sum is σ = 123171874560. Its totient is φ = 16329277440.

The previous prime is 45817099303. The next prime is 45817099343. The reversal of 45817099328 is 82399071854.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7236068 + ... + 7242396.

It is an arithmetic number, because the mean of its divisors is an integer number (549874440).

Almost surely, 245817099328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45817099328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61585937280).

45817099328 is an abundant number, since it is smaller than the sum of its proper divisors (77354775232).

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

45817099328 is a wasteful number, since it uses less digits than its factorization.

45817099328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6485 (or 6475 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 56.

The spelling of 45817099328 in words is "forty-five billion, eight hundred seventeen million, ninety-nine thousand, three hundred twenty-eight".