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134553798720 = 263251119317211
BaseRepresentation
bin111110101010000001…
…0000000100001000000
3110212022021201012002200
41331110002000201000
54201031233024340
6141451350513200
712502240263315
oct1752402004100
9425267635080
10134553798720
1152078125550
12220b1965800
13c8c44667a3
1467261bad0c
153777a2c330
hex1f54080840

134553798720 has 672 divisors, whose sum is σ = 548675112960. Its totient is φ = 29901312000.

The previous prime is 134553798713. The next prime is 134553798781. The reversal of 134553798720 is 27897355431.

134553798720 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 537 + 9 + 87 + 20 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18655915 + ... + 18663125.

Almost surely, 2134553798720 is an apocalyptic number.

134553798720 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 134553798720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274337556480).

134553798720 is an abundant number, since it is smaller than the sum of its proper divisors (414121314240).

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

134553798720 is a wasteful number, since it uses less digits than its factorization.

134553798720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7295 (or 7282 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 134553798720 in words is "one hundred thirty-four billion, five hundred fifty-three million, seven hundred ninety-eight thousand, seven hundred twenty".