Search a number
-
+
5090858136 = 23327313101157
BaseRepresentation
bin1001011110111000…
…00101010010011000
3111010210100101111100
410233130011102120
540411224430021
62201054431400
7240104403000
oct45734052230
914123311440
105090858136
112182725081
12ba0b02560
136319212c0
14364193000
151ebe02626
hex12f705498

5090858136 has 384 divisors, whose sum is σ = 17598672000. Its totient is φ = 1320883200.

The previous prime is 5090858027. The next prime is 5090858147. The reversal of 5090858136 is 6318580905.

5090858136 is a `hidden beast` number, since 509 + 0 + 8 + 5 + 8 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5090858091 and 5090858100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32425770 + ... + 32425926.

It is an arithmetic number, because the mean of its divisors is an integer number (45829875).

Almost surely, 25090858136 is an apocalyptic number.

5090858136 is a gapful number since it is divisible by the number (56) 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 5090858136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8799336000).

5090858136 is an abundant number, since it is smaller than the sum of its proper divisors (12507813864).

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

5090858136 is a wasteful number, since it uses less digits than its factorization.

5090858136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 5090858136 is about 71350.2497262623. The cubic root of 5090858136 is about 1720.2715156369.

The spelling of 5090858136 in words is "five billion, ninety million, eight hundred fifty-eight thousand, one hundred thirty-six".