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2274466049856 = 263671113311571
BaseRepresentation
bin100001000110010000101…
…111011010111101000000
322001102210110010211000000
4201012100233122331000
5244231101302043411
64500513021000000
7323216250302160
oct41062057327500
98042713124000
102274466049856
117a7660876450
123089820b3000
13136634348730
147c1287765a0
153e26db96956
hex21190bdaf40

2274466049856 has 1568 divisors, whose sum is σ = 9384814043136. Its totient is φ = 527399424000.

The previous prime is 2274466049851. The next prime is 2274466049893. The reversal of 2274466049856 is 6589406644722.

It is a happy number.

2274466049856 is a `hidden beast` number, since 22 + 74 + 4 + 6 + 6 + 0 + 498 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2274466049793 and 2274466049802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2274466049851) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1447781551 + ... + 1447783121.

Almost surely, 22274466049856 is an apocalyptic number.

2274466049856 is a gapful number since it is divisible by the number (26) 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 2274466049856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4692407021568).

2274466049856 is an abundant number, since it is smaller than the sum of its proper divisors (7110347993280).

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

2274466049856 is a wasteful number, since it uses less digits than its factorization.

2274466049856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 2274466049856 in words is "two trillion, two hundred seventy-four billion, four hundred sixty-six million, forty-nine thousand, eight hundred fifty-six".