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5959916820 = 22345111321979
BaseRepresentation
bin1011000110011110…
…10001110100010100
3120101100122010220000
411203033101310110
544201214314240
62423221411300
7300456312534
oct54317216424
916340563800
105959916820
1125892437a0
1211a3b69b30
1373c9a3400
144077774c4
1524d36b430
hex1633d1d14

5959916820 has 360 divisors, whose sum is σ = 22096942560. Its totient is φ = 1333013760.

The previous prime is 5959916813. The next prime is 5959916849. The reversal of 5959916820 is 286199595.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3010591 + ... + 3012569.

It is an arithmetic number, because the mean of its divisors is an integer number (61380396).

Almost surely, 25959916820 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 5959916820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11048471280).

5959916820 is an abundant number, since it is smaller than the sum of its proper divisors (16137025740).

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

5959916820 is a wasteful number, since it uses less digits than its factorization.

5959916820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The square root of 5959916820 is about 77200.4975372568. The cubic root of 5959916820 is about 1813.0651055674.

The spelling of 5959916820 in words is "five billion, nine hundred fifty-nine million, nine hundred sixteen thousand, eight hundred twenty".