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99981831690 = 23251395389669
BaseRepresentation
bin101110100011101100…
…0011010111000001010
3100120001220110022000100
41131013120122320022
53114230322103230
6113533033350230
710136433355446
oct1350730327012
9316056408010
1099981831690
1139447156a74
1217463868376
139574b1ac70
144ba6891826
15290284b660
hex174761ae0a

99981831690 has 96 divisors (see below), whose sum is σ = 280246009680. Its totient is φ = 24584813568.

The previous prime is 99981831629. The next prime is 99981831707. The reversal of 99981831690 is 9613818999.

It can be written as a sum of positive squares in 8 ways, for example, as 12698810721 + 87283020969 = 112689^2 + 295437^2 .

It is a super-2 number, since 2×999818316902 (a number of 23 digits) contains 22 as substring.

It is a Curzon 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, 1070176 + ... + 1159844.

Almost surely, 299981831690 is an apocalyptic number.

99981831690 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 99981831690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140123004840).

99981831690 is an abundant number, since it is smaller than the sum of its proper divisors (180264177990).

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

99981831690 is a wasteful number, since it uses less digits than its factorization.

99981831690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90648 (or 90645 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 63.

The spelling of 99981831690 in words is "ninety-nine billion, nine hundred eighty-one million, eight hundred thirty-one thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 953 1170 1906 2859 4765 5718 8577 9530 12389 14295 17154 24778 28590 37167 42885 61945 74334 85770 89669 111501 123890 179338 185835 223002 269007 371670 448345 538014 557505 807021 896690 1115010 1165697 1345035 1614042 2331394 2690070 3497091 4035105 5828485 6994182 8070210 10491273 11656970 17485455 20982546 34970910 52456365 85454557 104912730 170909114 256363671 427272785 512727342 769091013 854545570 1110909241 1281818355 1538182026 2221818482 2563636710 3332727723 3845455065 5554546205 6665455446 7690910130 9998183169 11109092410 16663638615 19996366338 33327277230 49990915845 99981831690