Search a number
-
+
129913647600 = 2435211192137199
BaseRepresentation
bin111100011111101110…
…1001111000111110000
3110102022220110002101210
41320333131033013300
54112030343210400
6135403112200120
712246244533042
oct1707735170760
9412286402353
10129913647600
115010695a310
1221217999040
13c33502bc39
146405c2ba92
1535a54a7950
hex1e3f74f1f0

129913647600 has 720 divisors, whose sum is σ = 485063596800. Its totient is φ = 29470003200.

The previous prime is 129913647583. The next prime is 129913647707. The reversal of 129913647600 is 6746319921.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 129913647600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 652832301 + ... + 652832499.

It is an arithmetic number, because the mean of its divisors is an integer number (673699440).

Almost surely, 2129913647600 is an apocalyptic number.

129913647600 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 129913647600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242531798400).

129913647600 is an abundant number, since it is smaller than the sum of its proper divisors (355149949200).

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

129913647600 is a wasteful number, since it uses less digits than its factorization.

129913647600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 129913647600 in words is "one hundred twenty-nine billion, nine hundred thirteen million, six hundred forty-seven thousand, six hundred".