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2249934201792 = 2632191627126359
BaseRepresentation
bin100000101111011010100…
…001110110001111000000
321222002110210010210220200
4200233122201312033000
5243330331123424132
64441334442205200
7321360316111224
oct40573241661700
97862423123820
102249934201792
11798212223952
123040764b3800
13134224ac60c4
147ac7c654784
153d7d514ad7c
hex20bda8763c0

2249934201792 has 168 divisors, whose sum is σ = 6792678921600. Its totient is φ = 710063221248.

The previous prime is 2249934201791. The next prime is 2249934201821. The reversal of 2249934201792 is 2971024399422.

2249934201792 is a `hidden beast` number, since 2 + 2 + 49 + 9 + 3 + 420 + 179 + 2 = 666.

It is a super-2 number, since 2×22499342017922 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2249934201791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17742709 + ... + 17869067.

Almost surely, 22249934201792 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 2249934201792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396339460800).

2249934201792 is an abundant number, since it is smaller than the sum of its proper divisors (4542744719808).

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

2249934201792 is a wasteful number, since it uses less digits than its factorization.

2249934201792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128023 (or 128010 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 2249934201792 in words is "two trillion, two hundred forty-nine billion, nine hundred thirty-four million, two hundred one thousand, seven hundred ninety-two".