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2670868122048 = 263274143337313
BaseRepresentation
bin100110110111011100001…
…001010100100111000000
3100110022222101120111220100
4212313130021110213000
5322224414214401143
65402551353042400
7363651413311560
oct46673411244700
910408871514810
102670868122048
1193a788475395
123717703b6400
13164b28450bb9
14933b0b68da0
154971e78c6d3
hex26ddc2549c0

2670868122048 has 336 divisors, whose sum is σ = 8983547891136. Its totient is φ = 742753566720.

The previous prime is 2670868122047. The next prime is 2670868122059. The reversal of 2670868122048 is 8402218680762.

2670868122048 is a `hidden beast` number, since 267 + 0 + 86 + 81 + 220 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 2670868121985 and 2670868122003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2670868122047) 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 47 ways as a sum of consecutive naturals, for example, 71561440 + ... + 71598752.

It is an arithmetic number, because the mean of its divisors is an integer number (26736749676).

Almost surely, 22670868122048 is an apocalyptic number.

2670868122048 is a gapful number since it is divisible by the number (28) 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 2670868122048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4491773945568).

2670868122048 is an abundant number, since it is smaller than the sum of its proper divisors (6312679769088).

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

2670868122048 is a wasteful number, since it uses less digits than its factorization.

2670868122048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37812 (or 37799 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 2670868122048 in words is "two trillion, six hundred seventy billion, eight hundred sixty-eight million, one hundred twenty-two thousand, forty-eight".