Search a number
-
+
129997483200 = 263452131931131
BaseRepresentation
bin111100100010001110…
…1000010110011000000
3110102112202012101020000
41321010131002303000
54112213323430300
6135415305120000
712251313242514
oct1710435026300
9412482171200
10129997483200
115014a210232
122123ba89000
13c3495030c0
146413012144
1535aca17c00
hex1e44742cc0

129997483200 has 1680 divisors, whose sum is σ = 563420605440. Its totient is φ = 29113344000.

The previous prime is 129997483199. The next prime is 129997483223. The reversal of 129997483200 is 2384799921.

129997483200 is a `hidden beast` number, since 1 + 299 + 9 + 74 + 83 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 992347135 + ... + 992347265.

It is an arithmetic number, because the mean of its divisors is an integer number (335369408).

Almost surely, 2129997483200 is an apocalyptic number.

129997483200 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 129997483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281710302720).

129997483200 is an abundant number, since it is smaller than the sum of its proper divisors (433423122240).

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

129997483200 is a wasteful number, since it uses less digits than its factorization.

129997483200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 129997483200 in words is "one hundred twenty-nine billion, nine hundred ninety-seven million, four hundred eighty-three thousand, two hundred".