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45514928108160 = 2733572314142293
BaseRepresentation
bin10100101100101010001010…
…00111110011001010000000
312222011011222121010022121000
422112111011013303022000
521431204033043430120
6240445134101132000
712405226230361500
oct1226250507631200
9188134877108530
1045514928108160
11135588553886a5
1251311213ba000
131c52068473b94
14b34d11913a00
1553de338d4990
hex2965451f3280

45514928108160 has 1536 divisors, whose sum is σ = 198291595622400. Its totient is φ = 9822029414400.

The previous prime is 45514928108137. The next prime is 45514928108161. The reversal of 45514928108160 is 6180182941554.

45514928108160 is a `hidden beast` number, since 4 + 5 + 5 + 1 + 492 + 8 + 10 + 81 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 45514928108097 and 45514928108106.

It is not an unprimeable number, because it can be changed into a prime (45514928108161) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1076159974 + ... + 1076202266.

It is an arithmetic number, because the mean of its divisors is an integer number (129096090900).

Almost surely, 245514928108160 is an apocalyptic number.

45514928108160 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 45514928108160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99145797811200).

45514928108160 is an abundant number, since it is smaller than the sum of its proper divisors (152776667514240).

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

45514928108160 is a wasteful number, since it uses less digits than its factorization.

45514928108160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42407 (or 42382 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 45514928108160 in words is "forty-five trillion, five hundred fourteen billion, nine hundred twenty-eight million, one hundred eight thousand, one hundred sixty".