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5641615980 = 2234573111371
BaseRepresentation
bin1010100000100010…
…00011101001101100
3112120011200210020000
411100101003221230
543023223202410
62331451224300
7256542642000
oct52021035154
915504623200
105641615980
1124355aa650
121115448090
136bba68710
143b739c700
15230444dc0
hex150443a6c

5641615980 has 960 divisors, whose sum is σ = 24588748800. Its totient is φ = 1066867200.

The previous prime is 5641615979. The next prime is 5641615999. The reversal of 5641615980 is 895161465.

5641615980 is a `hidden beast` number, since 5 + 6 + 416 + 159 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 79459345 + ... + 79459415.

It is an arithmetic number, because the mean of its divisors is an integer number (25613280).

Almost surely, 25641615980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5641615980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12294374400).

5641615980 is an abundant number, since it is smaller than the sum of its proper divisors (18947132820).

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

5641615980 is a wasteful number, since it uses less digits than its factorization.

5641615980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 5641615980 is about 75110.6915159220. The cubic root of 5641615980 is about 1780.1960794812.

The spelling of 5641615980 in words is "five billion, six hundred forty-one million, six hundred fifteen thousand, nine hundred eighty".