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648379791360 = 21132572294951
BaseRepresentation
bin10010110111101100111…
…00100111100000000000
32021222120200222002200200
421123312130213200000
541110340211310420
61213510033045200
764562312202300
oct11336634474000
92258520862620
10648379791360
1122aa81541944
12a57b10b6800
13491acb3a0a2
142354b73d600
1511cec370b90
hex96f6727800

648379791360 has 864 divisors, whose sum is σ = 2704738327200. Its totient is φ = 143061811200.

The previous prime is 648379791347. The next prime is 648379791361. The reversal of 648379791360 is 63197973846.

648379791360 is a `hidden beast` number, since 6 + 483 + 7 + 9 + 7 + 91 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648379791361) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 130956885 + ... + 130961835.

It is an arithmetic number, because the mean of its divisors is an integer number (3130484175).

Almost surely, 2648379791360 is an apocalyptic number.

648379791360 is a gapful number since it is divisible by the number (60) 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 648379791360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352369163600).

648379791360 is an abundant number, since it is smaller than the sum of its proper divisors (2056358535840).

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

648379791360 is a wasteful number, since it uses less digits than its factorization.

648379791360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5027 (or 4997 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 648379791360 in words is "six hundred forty-eight billion, three hundred seventy-nine million, seven hundred ninety-one thousand, three hundred sixty".