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5155488000 = 2836531317
BaseRepresentation
bin1001100110100101…
…01000000100000000
3111022021221221000000
410303102220010000
541024301104000
62211324000000
7241520632155
oct46322500400
914267857000
105155488000
112206158493
12bba690000
1364212c720
1436c9b822c
1520291c000
hex1334a8100

5155488000 has 1008 divisors, whose sum is σ = 21956656176. Its totient is φ = 1194393600.

The previous prime is 5155487999. The next prime is 5155488029. The reversal of 5155488000 is 8845515.

It can be written as a sum of positive squares in 8 ways, for example, as 1903751424 + 3251736576 = 43632^2 + 57024^2 .

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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 303263992 + ... + 303264008.

It is an arithmetic number, because the mean of its divisors is an integer number (21782397).

Almost surely, 25155488000 is an apocalyptic number.

5155488000 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 5155488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10978328088).

5155488000 is an abundant number, since it is smaller than the sum of its proper divisors (16801168176).

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

5155488000 is an equidigital number, since it uses as much as digits as its factorization.

5155488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 5155488000 is about 71801.7269987289. The cubic root of 5155488000 is about 1727.5207004011.

The spelling of 5155488000 in words is "five billion, one hundred fifty-five million, four hundred eighty-eight thousand".