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6984956106 = 23443117013
BaseRepresentation
bin1101000000101010…
…11111100011001010
3200000210102112110000
412200111133203022
5103301122043411
63113035503430
7335044101342
oct64025374312
920023375400
106984956106
112a649099a7
12142b2b7b76
1387416962b
144a3961d22
152ad346956
hex1a055f8ca

6984956106 has 20 divisors (see below), whose sum is σ = 15651476082. Its totient is φ = 2328318648.

The previous prime is 6984956093. The next prime is 6984956113. The reversal of 6984956106 is 6016594896.

It is a happy number.

6984956106 is a `hidden beast` number, since 6 + 98 + 495 + 61 + 0 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6983109225 + 1846881 = 83565^2 + 1359^2 .

It is a super-2 number, since 2×69849561062 = 97579223605493366472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 21558345 + ... + 21558668.

Almost surely, 26984956106 is an apocalyptic number.

6984956106 is an abundant number, since it is smaller than the sum of its proper divisors (8666519976).

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

6984956106 is a wasteful number, since it uses less digits than its factorization.

6984956106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43117027 (or 43117018 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 6984956106 is about 83576.0498348660. The cubic root of 6984956106 is about 1911.5598220861.

The spelling of 6984956106 in words is "six billion, nine hundred eighty-four million, nine hundred fifty-six thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 43117013 86234026 129351039 258702078 388053117 776106234 1164159351 2328318702 3492478053 6984956106