Search a number
-
+
6189900404352 = 273731931731093
BaseRepresentation
bin101101000010011001011…
…0100001001011010000000
3210220202012210122121201120
41122010302310021122000
51302403404000414402
621055333451432240
71206130334214000
oct132046264113200
923822183577646
106189900404352
111a77138453995
1283b789155680
1335b922160072
14175842824000
15ab0309293bc
hex5a132d09680

6189900404352 has 1024 divisors, whose sum is σ = 21139230720000. Its totient is φ = 1597740318720.

The previous prime is 6189900404339. The next prime is 6189900404353. The reversal of 6189900404352 is 2534040099816.

It is a super-3 number, since 3×61899004043523 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6189900404295 and 6189900404304.

It is not an unprimeable number, because it can be changed into a prime (6189900404353) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5663220318 + ... + 5663221410.

It is an arithmetic number, because the mean of its divisors is an integer number (20643780000).

Almost surely, 26189900404352 is an apocalyptic number.

6189900404352 is a gapful number since it is divisible by the number (62) 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 6189900404352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10569615360000).

6189900404352 is an abundant number, since it is smaller than the sum of its proper divisors (14949330315648).

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

6189900404352 is a wasteful number, since it uses less digits than its factorization.

6189900404352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 6189900404352 in words is "six trillion, one hundred eighty-nine billion, nine hundred million, four hundred four thousand, three hundred fifty-two".