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10083406986 = 23653130489
BaseRepresentation
bin10010110010000010…
…01001010010001010
3222000201201011000000
421121001021102022
5131122323010421
64344322223430
7504606355002
oct113101112212
928021634000
1010083406986
114304902a04
121b54ab4b76
13c49071513
146b9275002
153e0386226
hex25904948a

10083406986 has 56 divisors (see below), whose sum is σ = 23105342340. Its totient is φ = 3297692736.

The previous prime is 10083406969. The next prime is 10083406997. The reversal of 10083406986 is 68960438001.

It can be written as a sum of positive squares in 2 ways, for example, as 9963832761 + 119574225 = 99819^2 + 10935^2 .

It is a super-3 number, since 3×100834069863 (a number of 31 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 12030 + ... + 142518.

Almost surely, 210083406986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10083406986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11552671170).

10083406986 is an abundant number, since it is smaller than the sum of its proper divisors (13021935354).

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

10083406986 is an equidigital number, since it uses as much as digits as its factorization.

10083406986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130562 (or 130547 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 10083406986 in words is "ten billion, eighty-three million, four hundred six thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 243 318 477 486 729 954 1431 1458 2862 4293 8586 12879 25758 38637 77274 130489 260978 391467 782934 1174401 2348802 3523203 6915917 7046406 10569609 13831834 20747751 21139218 31708827 41495502 62243253 63417654 95126481 124486506 186729759 190252962 373459518 560189277 1120378554 1680567831 3361135662 5041703493 10083406986