Search a number
-
+
117670644000 = 2534537132307
BaseRepresentation
bin110110110010110110…
…1111000100100100000
3102020201200002001210000
41231211231320210200
53411442141102000
6130020202140000
711333662654020
oct1554555704440
9366650061700
10117670644000
11459a4013518
121a97b7b1600
13b133734400
1459a3c35a80
1530da736000
hex1b65b78920

117670644000 has 1440 divisors, whose sum is σ = 536219139456. Its totient is φ = 24746342400.

The previous prime is 117670643989. The next prime is 117670644053. The reversal of 117670644000 is 446076711.

117670644000 is a `hidden beast` number, since 1 + 1 + 7 + 6 + 7 + 0 + 644 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 383291847 + ... + 383292153.

Almost surely, 2117670644000 is an apocalyptic number.

117670644000 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 117670644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268109569728).

117670644000 is an abundant number, since it is smaller than the sum of its proper divisors (418548495456).

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

117670644000 is a wasteful number, since it uses less digits than its factorization.

117670644000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 117670644000 in words is "one hundred seventeen billion, six hundred seventy million, six hundred forty-four thousand".