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1681834854 = 2371713117981
BaseRepresentation
bin110010000111110…
…1100001101100110
311100012200001200210
41210033230031212
511421022203404
6434515320250
756451234420
oct14417541546
94305601623
101681834854
11793396467
123ab2b0086
1320a58936b
1411d517810
159c9b6689
hex643ec366

1681834854 has 64 divisors (see below), whose sum is σ = 4101622272. Its totient is φ = 448780800.

The previous prime is 1681834841. The next prime is 1681834859. The reversal of 1681834854 is 4584381861.

1681834854 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16818348542 = 5657136952258402632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1681834859) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84544 + ... + 102524.

It is an arithmetic number, because the mean of its divisors is an integer number (64087848).

Almost surely, 21681834854 is an apocalyptic number.

1681834854 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1681834854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050811136).

1681834854 is an abundant number, since it is smaller than the sum of its proper divisors (2419787418).

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

1681834854 is a wasteful number, since it uses less digits than its factorization.

1681834854 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18141.

The product of its digits is 737280, while the sum is 48.

The square root of 1681834854 is about 41010.1798825609. The cubic root of 1681834854 is about 1189.2170199524.

The spelling of 1681834854 in words is "one billion, six hundred eighty-one million, eight hundred thirty-four thousand, eight hundred fifty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 131 238 262 357 393 714 786 917 1834 2227 2751 4454 5502 6681 13362 15589 17981 31178 35962 46767 53943 93534 107886 125867 251734 305677 377601 611354 755202 917031 1834062 2139739 2355511 4279478 4711022 6419217 7066533 12838434 14133066 16488577 32977154 40043687 49465731 80087374 98931462 120131061 240262122 280305809 560611618 840917427 1681834854