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99821918472 = 23353181433571
BaseRepresentation
bin101110011110111011…
…0011001100100001000
3100112122202112212022120
41130331312121210020
53113413402342342
6113505122051240
710132452210243
oct1347566314410
9315582485276
1099821918472
1139374963891
121741a1a9b20
13954a95ab63
144b8d54625a
1528e37aeaec
hex173dd99908

99821918472 has 64 divisors (see below), whose sum is σ = 255668736960. Its totient is φ = 32465721600.

The previous prime is 99821918467. The next prime is 99821918551. The reversal of 99821918472 is 27481912899.

It is a happy number.

It is a super-2 number, since 2×998219184722 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13447 + ... + 447017.

It is an arithmetic number, because the mean of its divisors is an integer number (3994824015).

Almost surely, 299821918472 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 99821918472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127834368480).

99821918472 is an abundant number, since it is smaller than the sum of its proper divisors (155846818488).

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

99821918472 is a wasteful number, since it uses less digits than its factorization.

99821918472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433814 (or 433810 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 60.

The spelling of 99821918472 in words is "ninety-nine billion, eight hundred twenty-one million, nine hundred eighteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 181 212 318 362 424 543 636 724 1086 1272 1448 2172 4344 9593 19186 28779 38372 57558 76744 115116 230232 433571 867142 1300713 1734284 2601426 3468568 5202852 10405704 22979263 45958526 68937789 78476351 91917052 137875578 156952702 183834104 235429053 275751156 313905404 470858106 551502312 627810808 941716212 1883432424 4159246603 8318493206 12477739809 16636986412 24955479618 33273972824 49910959236 99821918472