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45710449344 = 2632731247251
BaseRepresentation
bin101010100100100011…
…100001101011000000
311100222122021102100100
4222210203201223000
51222103333334334
632555445322400
73205514260110
oct524443415300
9140878242310
1045710449344
11184273a216a
128a38406400
13440616b781
1422d8b67040
1512c7ec6c99
hexaa48e1ac0

45710449344 has 504 divisors, whose sum is σ = 158645620224. Its totient is φ = 12320640000.

The previous prime is 45710449283. The next prime is 45710449373. The reversal of 45710449344 is 44394401754.

45710449344 is a `hidden beast` number, since 4 + 57 + 104 + 493 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 45710449344.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 182113219 + ... + 182113469.

It is an arithmetic number, because the mean of its divisors is an integer number (314773056).

Almost surely, 245710449344 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 45710449344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79322810112).

45710449344 is an abundant number, since it is smaller than the sum of its proper divisors (112935170880).

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

45710449344 is a wasteful number, since it uses less digits than its factorization.

45710449344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 45710449344 in words is "forty-five billion, seven hundred ten million, four hundred forty-nine thousand, three hundred forty-four".