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6983086656 = 263713537541
BaseRepresentation
bin1101000000011100…
…10111001001000000
3200000122220120001010
412200032113021000
5103300132233111
63112531440520
7335022154140
oct64016271100
920018816033
106983086656
112a638523a7
12142a756140
13873963750
144a35d6920
152ad0c7aa6
hex1a0397240

6983086656 has 224 divisors, whose sum is σ = 23171920128. Its totient is φ = 1806704640.

The previous prime is 6983086601. The next prime is 6983086673. The reversal of 6983086656 is 6566803896.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 6983086596 and 6983086605.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 922246 + ... + 929786.

It is an arithmetic number, because the mean of its divisors is an integer number (103446072).

Almost surely, 26983086656 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 6983086656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11585960064).

6983086656 is an abundant number, since it is smaller than the sum of its proper divisors (16188833472).

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

6983086656 is a wasteful number, since it uses less digits than its factorization.

6983086656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7629 (or 7619 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The square root of 6983086656 is about 83564.8649612982. The cubic root of 6983086656 is about 1911.3892705794.

The spelling of 6983086656 in words is "six billion, nine hundred eighty-three million, eighty-six thousand, six hundred fifty-six".