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5990256000 = 273253172447
BaseRepresentation
bin1011001010000110…
…00000110110000000
3120110110201112102100
411211003000312000
544232001143000
62430223550400
7301305223131
oct54503006600
916413645370
105990256000
1125a4385aa3
1211b215b400
137460668a1
1440b7d3c88
15250d60a00
hex1650c0d80

5990256000 has 384 divisors, whose sum is σ = 22787256960. Its totient is φ = 1502822400.

The previous prime is 5990255987. The next prime is 5990256023. The reversal of 5990256000 is 6520995.

5990256000 is a `hidden beast` number, since 5 + 9 + 90 + 2 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2446777 + ... + 2449223.

It is an arithmetic number, because the mean of its divisors is an integer number (59341815).

Almost surely, 25990256000 is an apocalyptic number.

5990256000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5990256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11393628480).

5990256000 is an abundant number, since it is smaller than the sum of its proper divisors (16797000960).

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

5990256000 is a wasteful number, since it uses less digits than its factorization.

5990256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499 (or 2474 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 5990256000 is about 77396.7441175661. The cubic root of 5990256000 is about 1816.1363919114.

Adding to 5990256000 its reverse (6520995), we get a palindrome (5996776995).

The spelling of 5990256000 in words is "five billion, nine hundred ninety million, two hundred fifty-six thousand".