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5155188480 = 2832513291187
BaseRepresentation
bin1001100110100010…
…11110111100000000
3111022021101201010200
410303101132330000
541024212012410
62211313325200
7241515244011
oct46321367400
914267351120
105155188480
112205a73452
12bba566800
136420562b0
1436c93b008
152028ad3c0
hex13345ef00

5155188480 has 432 divisors, whose sum is σ = 19887547680. Its totient is φ = 1224179712.

The previous prime is 5155188473. The next prime is 5155188487. The reversal of 5155188480 is 848815515.

5155188480 is a `hidden beast` number, since 5 + 155 + 18 + 8 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (5155188473) and next prime (5155188487).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5155188487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4342447 + ... + 4343633.

It is an arithmetic number, because the mean of its divisors is an integer number (46035990).

Almost surely, 25155188480 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 5155188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9943773840).

5155188480 is an abundant number, since it is smaller than the sum of its proper divisors (14732359200).

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

5155188480 is a wasteful number, since it uses less digits than its factorization.

5155188480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 45.

The square root of 5155188480 is about 71799.6412247304. The cubic root of 5155188480 is about 1727.4872449829.

The spelling of 5155188480 in words is "five billion, one hundred fifty-five million, one hundred eighty-eight thousand, four hundred eighty".