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530731274068800 = 263352722359732531
BaseRepresentation
bin111100010101100101000000…
…1000011111110001101000000
32120121011102012000110002212000
41320223022001003332031000
51024031000122130200200
65120434325330104000
7216535032505515600
oct17053120103761500
92517142160402760
10530731274068800
1114411a962092272
124b637339a1b000
1319a1a98a590c0c
14950b760446c00
154155812175300
hex1e2b2810fe340

530731274068800 has 4032 divisors, whose sum is σ = 2421910973491200. Its totient is φ = 112461911654400.

The previous prime is 530731274068789. The next prime is 530731274068819. The reversal of 530731274068800 is 8860472137035.

It is a happy number.

530731274068800 is a `hidden beast` number, since 5 + 30 + 7 + 3 + 127 + 406 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 209692323535 + ... + 209692326065.

Almost surely, 2530731274068800 is an apocalyptic number.

530731274068800 is a gapful number since it is divisible by the number (50) 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 530731274068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210955486745600).

530731274068800 is an abundant number, since it is smaller than the sum of its proper divisors (1891179699422400).

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

530731274068800 is a wasteful number, since it uses less digits than its factorization.

530731274068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 530731274068800 in words is "five hundred thirty trillion, seven hundred thirty-one billion, two hundred seventy-four million, sixty-eight thousand, eight hundred".