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136903447296 = 283672111361
BaseRepresentation
bin111111110000000010…
…1001101001100000000
3111002101000222201000000
41333200011031030000
54220334240303141
6142520444000000
712614411046600
oct1774005151400
9432330881000
10136903447296
1153073477280
1222648830000
13cbaa1a30a5
1468aa290c00
153863e595b6
hex1fe014d300

136903447296 has 756 divisors, whose sum is σ = 520324494984. Its totient is φ = 35533209600.

The previous prime is 136903447231. The next prime is 136903447319. The reversal of 136903447296 is 692744309631.

It is a happy number.

136903447296 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 0 + 344 + 7 + 296 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

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 83 ways as a sum of consecutive naturals, for example, 100589656 + ... + 100591016.

It is an arithmetic number, because the mean of its divisors is an integer number (688259914).

Almost surely, 2136903447296 is an apocalyptic number.

136903447296 is a gapful number since it is divisible by the number (16) 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 136903447296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260162247492).

136903447296 is an abundant number, since it is smaller than the sum of its proper divisors (383421047688).

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

136903447296 is an equidigital number, since it uses as much as digits as its factorization.

136903447296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 136903447296 in words is "one hundred thirty-six billion, nine hundred three million, four hundred forty-seven thousand, two hundred ninety-six".