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45445581360 = 2434518138747
BaseRepresentation
bin101010010100110001…
…001000101000110000
311100022011212201210000
4222110301020220300
51221033032100420
632513304310000
73166120032204
oct522461105060
9140264781700
1045445581360
1118300933a03
128983772300
13439332185a
1422b18dab04
1512aeb07690
hexa94c48a30

45445581360 has 200 divisors, whose sum is σ = 158715372816. Its totient is φ = 12051555840.

The previous prime is 45445581341. The next prime is 45445581383. The reversal of 45445581360 is 6318554454.

45445581360 is a `hidden beast` number, since 4 + 5 + 4 + 4 + 5 + 581 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1153507 + ... + 1192253.

Almost surely, 245445581360 is an apocalyptic number.

45445581360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45445581360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79357686408).

45445581360 is an abundant number, since it is smaller than the sum of its proper divisors (113269791456).

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

45445581360 is a wasteful number, since it uses less digits than its factorization.

45445581360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38953 (or 38938 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 45445581360 in words is "forty-five billion, four hundred forty-five million, five hundred eighty-one thousand, three hundred sixty".