Search a number
-
+
5158836480 = 283573141151
BaseRepresentation
bin1001100110111110…
…11001100100000000
3111022112021001020210
410303133121210000
541031130231410
62211523434120
7241561246410
oct46337314400
914275231223
105158836480
112208035226
12bbb825940
13642a32885
1436d20a640
15202d7e220
hex1337d9900

5158836480 has 576 divisors, whose sum is σ = 20043104256. Its totient is φ = 1105920000.

The previous prime is 5158836469. The next prime is 5158836493. The reversal of 5158836480 is 846388515.

It is a super-2 number, since 2×51588364802 = 53227187654757580800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34164405 + ... + 34164555.

It is an arithmetic number, because the mean of its divisors is an integer number (34797056).

Almost surely, 25158836480 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 5158836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10021552128).

5158836480 is an abundant number, since it is smaller than the sum of its proper divisors (14884267776).

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

5158836480 is a wasteful number, since it uses less digits than its factorization.

5158836480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The square root of 5158836480 is about 71825.0407587772. The cubic root of 5158836480 is about 1727.8946266335.

The spelling of 5158836480 in words is "five billion, one hundred fifty-eight million, eight hundred thirty-six thousand, four hundred eighty".