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133979667143616 = 263578330748299
BaseRepresentation
bin11110011101101010010010…
…011101111001101111000000
3122120101022221100211212100000
4132131222102131321233000
5120030110324242043431
61152541224232200000
740135466023245120
oct3635522235715700
9576338840755300
10133979667143616
1139765504294958
121303a1a7539000
13599b2c7a43048
142512916d2cc80
1510751ba4889e6
hex79da92779bc0

133979667143616 has 672 divisors, whose sum is σ = 462138579302400. Its totient is φ = 37694732811264.

The previous prime is 133979667143599. The next prime is 133979667143677. The reversal of 133979667143616 is 616341766979331.

133979667143616 is a `hidden beast` number, since 1 + 3 + 3 + 97 + 96 + 6 + 7 + 1 + 436 + 16 = 666.

133979667143616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2773939435 + ... + 2773987733.

It is an arithmetic number, because the mean of its divisors is an integer number (687706219200).

Almost surely, 2133979667143616 is an apocalyptic number.

133979667143616 is a gapful number since it is divisible by the number (16) 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 133979667143616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231069289651200).

133979667143616 is an abundant number, since it is smaller than the sum of its proper divisors (328158912158784).

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

133979667143616 is an equidigital number, since it uses as much as digits as its factorization.

133979667143616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48723 (or 48701 counting only the distinct ones).

The product of its digits is 555532992, while the sum is 72.

The spelling of 133979667143616 in words is "one hundred thirty-three trillion, nine hundred seventy-nine billion, six hundred sixty-seven million, one hundred forty-three thousand, six hundred sixteen".