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1831012316694 = 2321110791339463
BaseRepresentation
bin11010101001010000110…
…101101011011000010110
320111001011101201002021200
4122221100311223120112
5214444403123113234
63521053324253330
7246200122616361
oct32512065533026
96431141632250
101831012316694
1164658979a190
12256a423a1246
1310388226a662
146489b44d0d8
1532967497d99
hex1aa50d6b616

1831012316694 has 96 divisors (see below), whose sum is σ = 4369234431744. Its totient is φ = 549548418240.

The previous prime is 1831012316689. The next prime is 1831012316729. The reversal of 1831012316694 is 4966132101381.

1831012316694 is a `hidden beast` number, since 1 + 8 + 310 + 12 + 316 + 6 + 9 + 4 = 666.

It is a super-2 number, since 2×18310123166942 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193487007 + ... + 193496469.

It is an arithmetic number, because the mean of its divisors is an integer number (45512858664).

Almost surely, 21831012316694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1831012316694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184617215872).

1831012316694 is an abundant number, since it is smaller than the sum of its proper divisors (2538222115050).

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

1831012316694 is a wasteful number, since it uses less digits than its factorization.

1831012316694 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18722 (or 18719 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1831012316694 in words is "one trillion, eight hundred thirty-one billion, twelve million, three hundred sixteen thousand, six hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 107 198 214 321 642 963 1177 1926 2354 3531 7062 9133 9463 10593 18266 18926 21186 27399 28389 54798 56778 82197 85167 100463 104093 164394 170334 200926 208186 301389 312279 602778 624558 904167 936837 977231 1012541 1808334 1873674 1954462 2025082 2931693 3037623 5863386 6075246 8795079 9112869 10749541 11137951 17590158 18225738 21499082 22275902 32248623 33413853 64497246 66827706 86425579 96745869 100241559 172851158 193491738 200483118 259276737 518553474 777830211 950681369 1555660422 1901362738 2852044107 5704088214 8556132321 9247536953 17112264642 18495073906 27742610859 55485221718 83227832577 101722906483 166455665154 203445812966 305168719449 610337438898 915506158347 1831012316694