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5995657920 = 2635717311693
BaseRepresentation
bin1011001010101111…
…00111101011000000
3120110211212222110110
411211113213223000
544234342023140
62430535431320
7301402152150
oct54527475300
916424788413
105995657920
1125a743559a
1211b3b25540
137472085a5
1440c3dc760
1525157b380
hex1655e7ac0

5995657920 has 448 divisors, whose sum is σ = 23792541696. Its totient is φ = 1247477760.

The previous prime is 5995657909. The next prime is 5995657957. The reversal of 5995657920 is 297565995.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3540594 + ... + 3542286.

It is an arithmetic number, because the mean of its divisors is an integer number (53108352).

Almost surely, 25995657920 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 5995657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11896270848).

5995657920 is an abundant number, since it is smaller than the sum of its proper divisors (17796883776).

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

5995657920 is a wasteful number, since it uses less digits than its factorization.

5995657920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 7654500, while the sum is 57.

The square root of 5995657920 is about 77431.6338456060. The cubic root of 5995657920 is about 1816.6821491073.

The spelling of 5995657920 in words is "five billion, nine hundred ninety-five million, six hundred fifty-seven thousand, nine hundred twenty".