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812432063520 = 2532571131713329
BaseRepresentation
bin10111101001010001011…
…10010111110000100000
32212200000210021000001200
423310220232113300200
5101302330102013040
61421120502401200
7112460552412120
oct13645056276040
92780023230050
10812432063520
112936067a1060
12111555a30200
135b7c579aa8c
142b4714d2c80
15161ee95b630
hexbd28b97c20

812432063520 has 1152 divisors, whose sum is σ = 3619370926080. Its totient is φ = 161021952000.

The previous prime is 812432063467. The next prime is 812432063557. The reversal of 812432063520 is 25360234218.

812432063520 is a `hidden beast` number, since 8 + 12 + 4 + 3 + 2 + 0 + 635 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 191 ways as a sum of consecutive naturals, for example, 244045216 + ... + 244048544.

It is an arithmetic number, because the mean of its divisors is an integer number (3141815040).

Almost surely, 2812432063520 is an apocalyptic number.

812432063520 is a gapful number since it is divisible by the number (80) 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 812432063520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809685463040).

812432063520 is an abundant number, since it is smaller than the sum of its proper divisors (2806938862560).

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

812432063520 is a wasteful number, since it uses less digits than its factorization.

812432063520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3470 (or 3459 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 812432063520 its reverse (25360234218), we get a palindrome (837792297738).

The spelling of 812432063520 in words is "eight hundred twelve billion, four hundred thirty-two million, sixty-three thousand, five hundred twenty".