Search a number
-
+
126324900495360 = 217325719161033
BaseRepresentation
bin11100101110010001001110…
…110100100000000000000000
3121120021112122111220211200200
4130232101032310200000000
5113024201344011322420
61124400505205045200
735415446540302260
oct3456211664400000
9546245574824620
10126324900495360
11372840a9056646
12122027416b6800
135564505322698
14232a22d0457a0
15e91001d66b90
hex72e44ed20000

126324900495360 has 864 divisors, whose sum is σ = 526829919557760. Its totient is φ = 27354395049984.

The previous prime is 126324900495331. The next prime is 126324900495413. The reversal of 126324900495360 is 63594009423621.

126324900495360 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 2 + 4 + 90 + 0 + 495 + 3 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 126324900495297 and 126324900495306.

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, 784385404 + ... + 784546436.

It is an arithmetic number, because the mean of its divisors is an integer number (609756851340).

Almost surely, 2126324900495360 is an apocalyptic number.

126324900495360 is a gapful number since it is divisible by the number (10) 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 126324900495360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263414959778880).

126324900495360 is an abundant number, since it is smaller than the sum of its proper divisors (400505019062400).

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

126324900495360 is an equidigital number, since it uses as much as digits as its factorization.

126324900495360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161104 (or 161069 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 126324900495360 in words is "one hundred twenty-six trillion, three hundred twenty-four billion, nine hundred million, four hundred ninety-five thousand, three hundred sixty".