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5920663680 = 273352314897
BaseRepresentation
bin1011000001110011…
…00010100010000000
3120021121202212201000
411200321202202000
544111142214210
62415300212000
7266501545101
oct54071424200
916247685630
105920663680
112569073288
12119299a000
1373480b7b9
1440247a3a8
15249bb5ac0
hex160e62880

5920663680 has 256 divisors, whose sum is σ = 21882182400. Its totient is φ = 1510096896.

The previous prime is 5920663621. The next prime is 5920663699. The reversal of 5920663680 is 863660295.

It is a happy number.

5920663680 is a `hidden beast` number, since 5 + 9 + 2 + 0 + 6 + 636 + 8 + 0 = 666.

It is a super-2 number, since 2×59206636802 = 70108516823342284800, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389992 + ... + 404888.

It is an arithmetic number, because the mean of its divisors is an integer number (85477275).

Almost surely, 25920663680 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 5920663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10941091200).

5920663680 is an abundant number, since it is smaller than the sum of its proper divisors (15961518720).

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

5920663680 is a wasteful number, since it uses less digits than its factorization.

5920663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14948 (or 14930 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 5920663680 is about 76945.8490108466. The cubic root of 5920663680 is about 1809.0759382768.

The spelling of 5920663680 in words is "five billion, nine hundred twenty million, six hundred sixty-three thousand, six hundred eighty".