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5485399920 = 24335711134359
BaseRepresentation
bin1010001101111010…
…01000111101110000
3112011021202012002000
411012331020331300
542213230244140
62304151054000
7252635062410
oct50675107560
915137665060
105485399920
112365402170
121091071300
136955a1390
143a0736640
15221888a30
hex146f48f70

5485399920 has 1280 divisors, whose sum is σ = 26398310400. Its totient is φ = 1010257920.

The previous prime is 5485399903. The next prime is 5485399949. The reversal of 5485399920 is 299935845.

It is a happy number.

5485399920 is a `hidden beast` number, since 548 + 5 + 3 + 9 + 9 + 92 + 0 = 666.

It is a super-2 number, since 2×54853999202 = 60179224564672012800, which contains 22 as substring.

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

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 92972851 + ... + 92972909.

It is an arithmetic number, because the mean of its divisors is an integer number (20623680).

Almost surely, 25485399920 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 5485399920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13199155200).

5485399920 is an abundant number, since it is smaller than the sum of its proper divisors (20912910480).

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

5485399920 is a wasteful number, since it uses less digits than its factorization.

5485399920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The square root of 5485399920 is about 74063.4857402756. The cubic root of 5485399920 is about 1763.6108633047.

The spelling of 5485399920 in words is "five billion, four hundred eighty-five million, three hundred ninety-nine thousand, nine hundred twenty".