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5990283264 = 21137314493
BaseRepresentation
bin1011001010000110…
…00111100000000000
3120110110202220211010
411211003013200000
544232003031024
62430224320520
7301305365460
oct54503074000
916413686733
105990283264
1125a43a4529
1211b2173140
13746076114
1440b7ddba0
15250d68b29
hex1650c7800

5990283264 has 192 divisors, whose sum is σ = 18844600320. Its totient is φ = 1655930880.

The previous prime is 5990283223. The next prime is 5990283269. The reversal of 5990283264 is 4623820995.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5990283269) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1331002 + ... + 1335494.

It is an arithmetic number, because the mean of its divisors is an integer number (98148960).

Almost surely, 25990283264 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 5990283264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9422300160).

5990283264 is an abundant number, since it is smaller than the sum of its proper divisors (12854317056).

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

5990283264 is a wasteful number, since it uses less digits than its factorization.

5990283264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4556 (or 4536 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 5990283264 is about 77396.9202488058. The cubic root of 5990283264 is about 1816.1391472231.

The spelling of 5990283264 in words is "five billion, nine hundred ninety million, two hundred eighty-three thousand, two hundred sixty-four".