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99859060872 = 23345322912697
BaseRepresentation
bin101110100000000010…
…0000101100010001000
3100112202100102220010000
41131000010011202020
53114002404421442
6113512530123000
710133413004154
oct1350004054210
9315670386100
1099859060872
113939392248a
121742a720460
139555563acc
144b94454064
1528e6b99d4c
hex1740105888

99859060872 has 160 divisors (see below), whose sum is σ = 286242125400. Its totient is φ = 32513135616.

The previous prime is 99859060871. The next prime is 99859060879. The reversal of 99859060872 is 27806095899.

It can be written as a sum of positive squares in 4 ways, for example, as 96779476836 + 3079584036 = 311094^2 + 55494^2 .

It is a super-3 number, since 3×998590608723 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (99859060871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7858428 + ... + 7871124.

Almost surely, 299859060872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99859060872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143121062700).

99859060872 is an abundant number, since it is smaller than the sum of its proper divisors (186383064528).

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

99859060872 is a wasteful number, since it uses less digits than its factorization.

99859060872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12997 (or 12984 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 99859060872 in words is "ninety-nine billion, eight hundred fifty-nine million, sixty thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 229 318 324 424 458 477 636 648 687 916 954 1272 1374 1431 1832 1908 2061 2748 2862 3816 4122 4293 5496 5724 6183 8244 8586 11448 12137 12366 12697 16488 17172 18549 24274 24732 25394 34344 36411 37098 38091 48548 49464 50788 72822 74196 76182 97096 101576 109233 114273 145644 148392 152364 218466 228546 291288 304728 327699 342819 436932 457092 655398 672941 685638 873864 914184 983097 1028457 1310796 1345882 1371276 1966194 2018823 2056914 2621592 2691764 2742552 2907613 3932388 4037646 4113828 5383528 5815226 6056469 7864776 8075292 8227656 8722839 11630452 12112938 16150584 17445678 18169407 23260904 24225876 26168517 34891356 36338814 48451752 52337034 54508221 69782712 72677628 78505551 104674068 109016442 145355256 154103489 157011102 209348136 218032884 235516653 308206978 314022204 436065768 462310467 471033306 616413956 628044408 924620934 942066612 1232827912 1386931401 1849241868 1884133224 2773862802 3698483736 4160794203 5547725604 8321588406 11095451208 12482382609 16643176812 24964765218 33286353624 49929530436 99859060872