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534447107040 = 2535711217531459
BaseRepresentation
bin1111100011011111000…
…01111010101111100000
31220002111112112001121210
413301233201322233200
532224021424411130
61045304400150120
753420045312010
oct7615741725740
91802445461553
10534447107040
11196726505900
12876b5308340
133b52395a552
141bc20129c40
15dd7ed9d5b0
hex7c6f87abe0

534447107040 has 1152 divisors, whose sum is σ = 2283034844160. Its totient is φ = 102478970880.

The previous prime is 534447107039. The next prime is 534447107041. The reversal of 534447107040 is 40701744435.

It is an interprime number because it is at equal distance from previous prime (534447107039) and next prime (534447107041).

It is a self number, because there is not a number n which added to its sum of digits gives 534447107040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534447107041) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 366309831 + ... + 366311289.

It is an arithmetic number, because the mean of its divisors is an integer number (1981801080).

Almost surely, 2534447107040 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 534447107040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141517422080).

534447107040 is an abundant number, since it is smaller than the sum of its proper divisors (1748587737120).

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

534447107040 is a wasteful number, since it uses less digits than its factorization.

534447107040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 39.

The spelling of 534447107040 in words is "five hundred thirty-four billion, four hundred forty-seven million, one hundred seven thousand, forty".