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538891856640 = 28325538091091
BaseRepresentation
bin1111101011110000111…
…01010010101100000000
31220111222022002201211100
413311320131102230000
532312122303403030
61051321414414400
753635146126444
oct7657035225400
91814868081740
10538891856640
111985a7449a85
1288535961400
133ba8175abb7
141c122572824
15e0401c6360
hex7d78752b00

538891856640 has 432 divisors, whose sum is σ = 1903780700640. Its totient is φ = 140689735680.

The previous prime is 538891856611. The next prime is 538891856651. The reversal of 538891856640 is 46658198835.

538891856640 is a `hidden beast` number, since 53 + 8 + 8 + 9 + 18 + 566 + 4 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 493942495 + ... + 493943585.

It is an arithmetic number, because the mean of its divisors is an integer number (4406899770).

Almost surely, 2538891856640 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 538891856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951890350320).

538891856640 is an abundant number, since it is smaller than the sum of its proper divisors (1364888844000).

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

538891856640 is a wasteful number, since it uses less digits than its factorization.

538891856640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 538891856640 in words is "five hundred thirty-eight billion, eight hundred ninety-one million, eight hundred fifty-six thousand, six hundred forty".