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530892332810112 = 27372131719127157337
BaseRepresentation
bin111100010110110000000000…
…0111010010011111110000000
32120121201210220110212212220010
41320231200000322103332000
51024041114444144410422
65121040323141544520
7216552463626315300
oct17055400072237600
92517653813785803
10530892332810112
111441821a059a449
124b6625a8115140
1319a2cc16c93a90
14951547c7d9600
154159adba48b0c
hex1e2d800e93f80

530892332810112 has 3072 divisors, whose sum is σ = 2003038610227200. Its totient is φ = 122706456477696.

The previous prime is 530892332810053. The next prime is 530892332810183. The reversal of 530892332810112 is 211018233298035.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1575348168408 + ... + 1575348168744.

It is an arithmetic number, because the mean of its divisors is an integer number (652030797600).

Almost surely, 2530892332810112 is an apocalyptic number.

530892332810112 is a gapful number since it is divisible by the number (52) 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 530892332810112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001519305113600).

530892332810112 is an abundant number, since it is smaller than the sum of its proper divisors (1472146277417088).

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

530892332810112 is a wasteful number, since it uses less digits than its factorization.

530892332810112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 530892332810112 in words is "five hundred thirty trillion, eight hundred ninety-two billion, three hundred thirty-two million, eight hundred ten thousand, one hundred twelve".