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3386109862260 = 2234519127866221
BaseRepresentation
bin110001010001100011111…
…000000010000101110100
3102222201010211002112120000
4301101203320002011310
5420434223111043020
611111320221511300
7466431646635516
oct61214370020564
912881124075500
103386109862260
11109604a817aa4
12468301412530
131b7402546b18
14b9c6241dbb6
155d1319ab090
hex31463e02174

3386109862260 has 240 divisors, whose sum is σ = 11269478922240. Its totient is φ = 848701566720.

The previous prime is 3386109862259. The next prime is 3386109862283. The reversal of 3386109862260 is 622689016833.

3386109862260 is a `hidden beast` number, since 3 + 3 + 8 + 6 + 1 + 0 + 9 + 8 + 622 + 6 + 0 = 666.

It is a super-2 number, since 2×33861098622602 (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 = 3386109862197 and 3386109862206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3475950 + ... + 4342170.

It is an arithmetic number, because the mean of its divisors is an integer number (46956162176).

Almost surely, 23386109862260 is an apocalyptic number.

3386109862260 is a gapful number since it is divisible by the number (30) 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 3386109862260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5634739461120).

3386109862260 is an abundant number, since it is smaller than the sum of its proper divisors (7883369059980).

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

3386109862260 is a wasteful number, since it uses less digits than its factorization.

3386109862260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866388 (or 866377 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 3386109862260 in words is "three trillion, three hundred eighty-six billion, one hundred nine million, eight hundred sixty-two thousand, two hundred sixty".