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134697494952 = 2332172320832297
BaseRepresentation
bin111110101110010011…
…0001010100110101000
3110212200022002201021100
41331130212022212220
54201330024314302
6141513522441400
712505633546626
oct1753446124650
9425608081240
10134697494952
1152141251669
1222131b03260
13c918169347
14673b304516
153785463d1c
hex1f5c98a9a8

134697494952 has 192 divisors, whose sum is σ = 403428055680. Its totient is φ = 40383737856.

The previous prime is 134697494947. The next prime is 134697494959. The reversal of 134697494952 is 259494796431.

134697494952 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 97 + 494 + 9 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 134697494952.

It is not an unprimeable number, because it can be changed into a prime (134697494959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58639468 + ... + 58641764.

It is an arithmetic number, because the mean of its divisors is an integer number (2101187790).

Almost surely, 2134697494952 is an apocalyptic number.

134697494952 is a gapful number since it is divisible by the number (12) 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 134697494952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201714027840).

134697494952 is an abundant number, since it is smaller than the sum of its proper divisors (268730560728).

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

134697494952 is a wasteful number, since it uses less digits than its factorization.

134697494952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4432 (or 4425 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 134697494952 in words is "one hundred thirty-four billion, six hundred ninety-seven million, four hundred ninety-four thousand, nine hundred fifty-two".