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445070027885130 = 232561897069128857
BaseRepresentation
bin110010100110010011111000…
…0111010011000101001001010
32011100212021112111010101221200
41211030213300322120221022
5431314011404114311010
64214330203112245030
7162514151123660604
oct14514476072305112
92140767474111850
10445070027885130
111198a415887585a
1241b016779a0776
1316145c0103859b
147bc970baa0174
15366c45d339cc0
hex194c9f0e98a4a

445070027885130 has 192 divisors, whose sum is σ = 1189544947063200. Its totient is φ = 115410773237760.

The previous prime is 445070027885057. The next prime is 445070027885141. The reversal of 445070027885130 is 31588720070544.

445070027885130 is a `hidden beast` number, since 4 + 4 + 50 + 7 + 0 + 0 + 2 + 78 + 8 + 513 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1933131517641 + 443136896367489 = 1390371^2 + 21050817^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3453919662 + ... + 3454048518.

Almost surely, 2445070027885130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445070027885130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594772473531600).

445070027885130 is an abundant number, since it is smaller than the sum of its proper divisors (744474919178070).

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

445070027885130 is a wasteful number, since it uses less digits than its factorization.

445070027885130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136089 (or 136086 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 445070027885130 in words is "four hundred forty-five trillion, seventy billion, twenty-seven million, eight hundred eighty-five thousand, one hundred thirty".