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2133201769920 = 263451322331683
BaseRepresentation
bin11111000010101100101…
…110111101010111000000
321112221011111110212020000
4133002230232331113000
5234422244123114140
64311551313120000
7310055504603424
oct37025456752700
97487144425200
102133201769920
1175275a872061
122a5518b59000
13126210877200
1475367284b84
153a751e8da30
hex1f0acbbd5c0

2133201769920 has 1680 divisors, whose sum is σ = 8863571515392. Its totient is φ = 485351792640.

The previous prime is 2133201769913. The next prime is 2133201770017. The reversal of 2133201769920 is 299671023312.

2133201769920 is a `hidden beast` number, since 213 + 320 + 1 + 7 + 6 + 99 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 3123281899 + ... + 3123282581.

Almost surely, 22133201769920 is an apocalyptic number.

2133201769920 is a gapful number since it is divisible by the number (20) 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 2133201769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4431785757696).

2133201769920 is an abundant number, since it is smaller than the sum of its proper divisors (6730369745472).

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

2133201769920 is a wasteful number, since it uses less digits than its factorization.

2133201769920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 2133201769920 in words is "two trillion, one hundred thirty-three billion, two hundred one million, seven hundred sixty-nine thousand, nine hundred twenty".