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2422986027264 = 2834111312619
BaseRepresentation
bin100011010000100101001…
…110001011000100000000
322120122011001200101120000
4203100211032023010000
5304144233410333024
65053034315320000
7340024565261565
oct43204516130400
98518131611500
102422986027264
11854645499730
12331711150000
131476430ab97a
14853b774486c
1543062875cc9
hex2342538b100

2422986027264 has 540 divisors, whose sum is σ = 7955171513520. Its totient is φ = 727456204800.

The previous prime is 2422986027227. The next prime is 2422986027307. The reversal of 2422986027264 is 4627206892242.

2422986027264 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 9 + 8 + 602 + 7 + 26 + 4 = 666.

It is a super-2 number, since 2×24229860272642 (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 self number, because there is not a number n which added to its sum of digits gives 2422986027264.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3914355147 + ... + 3914355765.

Almost surely, 22422986027264 is an apocalyptic number.

2422986027264 is a gapful number since it is divisible by the number (24) 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 2422986027264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3977585756760).

2422986027264 is an abundant number, since it is smaller than the sum of its proper divisors (5532185486256).

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

2422986027264 is an equidigital number, since it uses as much as digits as its factorization.

2422986027264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 2422986027264 in words is "two trillion, four hundred twenty-two billion, nine hundred eighty-six million, twenty-seven thousand, two hundred sixty-four".