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45148078080 = 2163957
BaseRepresentation
bin101010000011000010…
…010000000000000000
311022112110002000000000
4222003002100000000
51214430401444310
632424000000000
73155545221540
oct520302200000
9138473060000
1045148078080
1118168a05326
128900000000
1343467b9301
1422841b7320
15129393d4c0
hexa83090000

45148078080 has 680 divisors, whose sum is σ = 185747529792. Its totient is φ = 10319560704.

The previous prime is 45148078069. The next prime is 45148078081. The reversal of 45148078080 is 8087084154.

It is a Jordan-Polya number, since it can be written as 9! ⋅ (4!)2 ⋅ (3!)3.

45148078080 is a `hidden beast` number, since 451 + 48 + 0 + 7 + 80 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (45148078081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6449725437 + ... + 6449725443.

Almost surely, 245148078080 is an apocalyptic number.

45148078080 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 45148078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92873764896).

45148078080 is an abundant number, since it is smaller than the sum of its proper divisors (140599451712).

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

45148078080 is an frugal number, since it uses more digits than its factorization.

45148078080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

45148078080 divided by its product of nonzero digits (286720) gives a cube (157464 = 543).

The spelling of 45148078080 in words is "forty-five billion, one hundred forty-eight million, seventy-eight thousand, eighty".