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2686366656 = 2632172511093
BaseRepresentation
bin1010000000011110…
…1011001111000000
320221012212120021100
42200013223033000
521000202213111
61122322054400
7123366511521
oct24007531700
96835776240
102686366656
111159425036
1262b7aa400
1333a72218c
141b6ac4848
1510ac90756
hexa01eb3c0

2686366656 has 168 divisors, whose sum is σ = 8192895984. Its totient is φ = 838656000.

The previous prime is 2686366637. The next prime is 2686366679. The reversal of 2686366656 is 6566636862.

It is a super-3 number, since 3×26863666563 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2457246 + ... + 2458338.

It is an arithmetic number, because the mean of its divisors is an integer number (48767238).

Almost surely, 22686366656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2686366656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096447992).

2686366656 is an abundant number, since it is smaller than the sum of its proper divisors (5506529328).

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

2686366656 is a wasteful number, since it uses less digits than its factorization.

2686366656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1366 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The square root of 2686366656 is about 51830.1712904752. The cubic root of 2686366656 is about 1390.1289765247.

The spelling of 2686366656 in words is "two billion, six hundred eighty-six million, three hundred sixty-six thousand, six hundred fifty-six".