Search a number
-
+
5296817130000 = 243541126959669
BaseRepresentation
bin100110100010100001011…
…1001110100101000010000
3200202101000021220121100020
41031011002321310220100
51143240340141130000
615133154005423440
71054453031511234
oct115050271645020
920671007817306
105296817130000
111762405200490
1271668540ab80
132c5645671336
1414451dcbc5c4
1592bb0767ba0
hex4d142e74a10

5296817130000 has 400 divisors, whose sum is σ = 18722927995200. Its totient is φ = 1279281920000.

The previous prime is 5296817129977. The next prime is 5296817130113. The reversal of 5296817130000 is 317186925.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×52968171300002 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 88740166 + ... + 88799834.

It is an arithmetic number, because the mean of its divisors is an integer number (46807319988).

Almost surely, 25296817130000 is an apocalyptic number.

5296817130000 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 5296817130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9361463997600).

5296817130000 is an abundant number, since it is smaller than the sum of its proper divisors (13426110865200).

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

5296817130000 is a wasteful number, since it uses less digits than its factorization.

5296817130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59980 (or 59959 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 5296817130000 in words is "five trillion, two hundred ninety-six billion, eight hundred seventeen million, one hundred thirty thousand".