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119669840640 = 28375731197
BaseRepresentation
bin110111101110011100…
…0001101101100000000
3102102212222220210000000
41233130320031230000
53430040434400030
6130550420000000
711434346601450
oct1573470155400
9372788823000
10119669840640
114682a561549
121b239230000
13b391989bbc
145b13561d60
1531a5eda860
hex1bdce0db00

119669840640 has 1152 divisors, whose sum is σ = 509742858240. Its totient is φ = 26336378880.

The previous prime is 119669840621. The next prime is 119669840669. The reversal of 119669840640 is 46048966911.

It is a happy number.

119669840640 is a `hidden beast` number, since 1 + 196 + 6 + 9 + 8 + 406 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 607461022 + ... + 607461218.

It is an arithmetic number, because the mean of its divisors is an integer number (442485120).

Almost surely, 2119669840640 is an apocalyptic number.

119669840640 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 119669840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254871429120).

119669840640 is an abundant number, since it is smaller than the sum of its proper divisors (390073017600).

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

119669840640 is an frugal number, since it uses more digits than its factorization.

119669840640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 119669840640 in words is "one hundred nineteen billion, six hundred sixty-nine million, eight hundred forty thousand, six hundred forty".