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134623550880 = 25335713342449
BaseRepresentation
bin111110101100000110…
…0000101110110100000
3110212111010221222002000
41331120030011312200
54201202112112010
6141502321524000
712504045205350
oct1753014056640
9425433858060
10134623550880
1152103537365
12221111a3600
13c905a49560
146731576b60
15377dc097c0
hex1f58305da0

134623550880 has 384 divisors, whose sum is σ = 579918528000. Its totient is φ = 28404006912.

The previous prime is 134623550869. The next prime is 134623550891. The reversal of 134623550880 is 88055326431.

134623550880 is a `hidden beast` number, since 1 + 3 + 4 + 62 + 3 + 5 + 508 + 80 = 666.

134623550880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (134623550869) and next prime (134623550891).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 221896 + ... + 564344.

It is an arithmetic number, because the mean of its divisors is an integer number (1510204500).

Almost surely, 2134623550880 is an apocalyptic number.

134623550880 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 134623550880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289959264000).

134623550880 is an abundant number, since it is smaller than the sum of its proper divisors (445294977120).

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

134623550880 is a wasteful number, since it uses less digits than its factorization.

134623550880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342493 (or 342479 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 134623550880 in words is "one hundred thirty-four billion, six hundred twenty-three million, five hundred fifty thousand, eight hundred eighty".