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576020376672 = 2531313131111329
BaseRepresentation
bin10000110000111010111…
…11010110110001100000
32001001210211221222022220
420120131133112301200
533414142204023142
61120341535431040
756421215262516
oct10303537266140
92031724858286
10576020376672
1120231a538684
1293778085480
134241a946b90
141dc456304b6
15eeb4a542ec
hex861d7d6c60

576020376672 has 192 divisors, whose sum is σ = 1646216732160. Its totient is φ = 175303065600.

The previous prime is 576020376593. The next prime is 576020376697. The reversal of 576020376672 is 276673020675.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 50839104 + ... + 50850432.

It is an arithmetic number, because the mean of its divisors is an integer number (8574045480).

Almost surely, 2576020376672 is an apocalyptic number.

576020376672 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 576020376672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823108366080).

576020376672 is an abundant number, since it is smaller than the sum of its proper divisors (1070196355488).

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

576020376672 is a wasteful number, since it uses less digits than its factorization.

576020376672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11797 (or 11789 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 51.

The spelling of 576020376672 in words is "five hundred seventy-six billion, twenty million, three hundred seventy-six thousand, six hundred seventy-two".