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2050940388672 = 26357291135749
BaseRepresentation
bin11101110110000101100…
…100101100010101000000
321021001211120011201100000
4131312011210230111000
5232100311214414142
64210104454200000
7301114133443530
oct35660544542500
97231746151300
102050940388672
1172088742185a
1229159b953000
1311b53109c1a6
14713a20514c0
153853a1cb14c
hex1dd8592c540

2050940388672 has 672 divisors, whose sum is σ = 7272588960000. Its totient is φ = 560672243712.

The previous prime is 2050940388671. The next prime is 2050940388683. The reversal of 2050940388672 is 2768830490502.

2050940388672 is a `hidden beast` number, since 2 + 0 + 509 + 40 + 38 + 8 + 67 + 2 = 666.

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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2050940388671) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 356744454 + ... + 356750202.

It is an arithmetic number, because the mean of its divisors is an integer number (10822305000).

Almost surely, 22050940388672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2050940388672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3636294480000).

2050940388672 is an abundant number, since it is smaller than the sum of its proper divisors (5221648571328).

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

2050940388672 is a wasteful number, since it uses less digits than its factorization.

2050940388672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5925 (or 5903 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2050940388672 in words is "two trillion, fifty billion, nine hundred forty million, three hundred eighty-eight thousand, six hundred seventy-two".