Search a number
-
+
5158853280 = 253357224371
BaseRepresentation
bin1001100110111110…
…11101101010100000
3111022112021220022000
410303133131222200
541031131301110
62211524044000
7241561346400
oct46337355240
914275256260
105158853280
112208046909
12bbb833600
13642a3a409
1436d212800
15202d841c0
hex1337ddaa0

5158853280 has 288 divisors, whose sum is σ = 21004764480. Its totient is φ = 1179118080.

The previous prime is 5158853257. The next prime is 5158853309. The reversal of 5158853280 is 823588515.

5158853280 is a `hidden beast` number, since 515 + 8 + 8 + 53 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×51588532802 = 53227534329133516800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199495 + ... + 223865.

It is an arithmetic number, because the mean of its divisors is an integer number (72933210).

Almost surely, 25158853280 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 5158853280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10502382240).

5158853280 is an abundant number, since it is smaller than the sum of its proper divisors (15845911200).

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

5158853280 is a wasteful number, since it uses less digits than its factorization.

5158853280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24409 (or 24388 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The square root of 5158853280 is about 71825.1577095380. The cubic root of 5158853280 is about 1727.8965022888.

The spelling of 5158853280 in words is "five billion, one hundred fifty-eight million, eight hundred fifty-three thousand, two hundred eighty".