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539473084416 = 21734721761
BaseRepresentation
bin1111101100110110001…
…10100000000000000000
31220120110210210011110000
413312123012200000000
532314320102200131
61051455220240000
753655434362200
oct7663306400000
91816423704400
10539473084416
11198875546012
1288678540000
133bb44cb3166
141c179830400
15e076236ce6
hex7d9b1a0000

539473084416 has 1080 divisors, whose sum is σ = 2017728302436. Its totient is φ = 142690222080.

The previous prime is 539473084411. The next prime is 539473084439. The reversal of 539473084416 is 614480374935.

539473084416 is a `hidden beast` number, since 53 + 9 + 473 + 0 + 84 + 41 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 526727577600 + 12745506816 = 725760^2 + 112896^2 .

It is a super-2 number, since 2×5394730844162 (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (539473084411) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8843821026 + ... + 8843821086.

Almost surely, 2539473084416 is an apocalyptic number.

539473084416 is a gapful number since it is divisible by the number (56) 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 539473084416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008864151218).

539473084416 is an abundant number, since it is smaller than the sum of its proper divisors (1478255218020).

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

539473084416 is an frugal number, since it uses more digits than its factorization.

539473084416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 539473084416 in words is "five hundred thirty-nine billion, four hundred seventy-three million, eighty-four thousand, four hundred sixteen".