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820603956480 = 28357311219271
BaseRepresentation
bin10111111000011111100…
…11101010110100000000
32220110010022010011202220
423330033303222310000
5101421044103101410
61424551422411040
7113200221354000
oct13741763526400
92813108104686
10820603956480
1129701a5a4200
12113056730a80
135c4c88069b9
142ba08944000
151652c0ad070
hexbf0fcead00

820603956480 has 1728 divisors, whose sum is σ = 3549299712000. Its totient is φ = 160944537600.

The previous prime is 820603956479. The next prime is 820603956517. The reversal of 820603956480 is 84659306028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3028058745 + ... + 3028059015.

Almost surely, 2820603956480 is an apocalyptic number.

820603956480 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 820603956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774649856000).

820603956480 is an abundant number, since it is smaller than the sum of its proper divisors (2728695755520).

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

820603956480 is a wasteful number, since it uses less digits than its factorization.

820603956480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 820603956480 in words is "eight hundred twenty billion, six hundred three million, nine hundred fifty-six thousand, four hundred eighty".