Search a number
-
+
129371489280 = 2103651123137
BaseRepresentation
bin111100001111100100…
…1000100010000000000
3110100221010021121000000
41320133021010100000
54104423100124110
6135233224000000
712226642341405
oct1703711042000
9410833247000
10129371489280
114a958918790
12210a6300000
13c279905ab7
146393c202ac
153572ab31c0
hex1e1f244400

129371489280 has 1232 divisors, whose sum is σ = 533532438144. Its totient is φ = 29780213760.

The previous prime is 129371489249. The next prime is 129371489287. The reversal of 129371489280 is 82984173921.

129371489280 is a `hidden beast` number, since 1 + 2 + 93 + 71 + 489 + 2 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (129371489287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 944317372 + ... + 944317508.

Almost surely, 2129371489280 is an apocalyptic number.

129371489280 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 129371489280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266766219072).

129371489280 is an abundant number, since it is smaller than the sum of its proper divisors (404160948864).

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

129371489280 is a wasteful number, since it uses less digits than its factorization.

129371489280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 129371489280 in words is "one hundred twenty-nine billion, three hundred seventy-one million, four hundred eighty-nine thousand, two hundred eighty".