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2275864335360 = 21034571131931
BaseRepresentation
bin100001000111100100000…
…101011101010000000000
322001120101220021002010000
4201013210011131100000
5244241432232212420
64501303451040000
7323266016444250
oct41074405352000
98046356232100
102275864335360
117a82090a4000
123090b2440000
131367c7c469c5
147c21c35d960
153e3017ed690
hex211e415d400

2275864335360 has 3520 divisors, whose sum is σ = 11139494952960. Its totient is φ = 433564876800.

The previous prime is 2275864335323. The next prime is 2275864335383. The reversal of 2275864335360 is 635334685722.

2275864335360 is a `hidden beast` number, since 2 + 2 + 7 + 586 + 4 + 3 + 3 + 53 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3520).

It is a super-2 number, since 2×22758643353602 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2275864335297 and 2275864335306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 73414978545 + ... + 73414978575.

It is an arithmetic number, because the mean of its divisors is an integer number (3164629248).

Almost surely, 22275864335360 is an apocalyptic number.

2275864335360 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 2275864335360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5569747476480).

2275864335360 is an abundant number, since it is smaller than the sum of its proper divisors (8863630617600).

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

2275864335360 is a wasteful number, since it uses less digits than its factorization.

2275864335360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 2275864335360 in words is "two trillion, two hundred seventy-five billion, eight hundred sixty-four million, three hundred thirty-five thousand, three hundred sixty".