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2277985229568 = 28327127894993
BaseRepresentation
bin100001001001100010100…
…000000001101100000000
322001202212201002200000100
4201021202200001230000
5244310303204321233
64502254133122400
7323402411653266
oct41114240015400
98052781080010
102277985229568
117a90a7303234
123095a4789400
13136a7546bca9
147c37dcc8436
153e3c7ae1813
hex21262801b00

2277985229568 has 216 divisors, whose sum is σ = 6664222524960. Its totient is φ = 748215336960.

The previous prime is 2277985229563. The next prime is 2277985229591. The reversal of 2277985229568 is 8659225897722.

It is a happy number.

2277985229568 is a `hidden beast` number, since 2 + 2 + 7 + 7 + 9 + 8 + 52 + 2 + 9 + 568 = 666.

It is a super-2 number, since 2×22779852295682 (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2277985229496 and 2277985229505.

It is not an unprimeable number, because it can be changed into a prime (2277985229563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 456233280 + ... + 456238272.

It is an arithmetic number, because the mean of its divisors is an integer number (30852882060).

Almost surely, 22277985229568 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 2277985229568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3332111262480).

2277985229568 is an abundant number, since it is smaller than the sum of its proper divisors (4386237295392).

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

2277985229568 is a wasteful number, since it uses less digits than its factorization.

2277985229568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7875 (or 7858 counting only the distinct ones).

The product of its digits is 609638400, while the sum is 72.

The spelling of 2277985229568 in words is "two trillion, two hundred seventy-seven billion, nine hundred eighty-five million, two hundred twenty-nine thousand, five hundred sixty-eight".