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99873696784 = 24414472
BaseRepresentation
bin101110100000011101…
…1111010110000010000
3100112210100222110210211
41131000323322300100
53114020131244114
6113514211533504
710133651262361
oct1350073726020
9315710873724
1099873696784
11393a1109684
12174335ba294
1395585b9804
144b96383b68
1528e80db6c4
hex1740efac10

99873696784 has 75 divisors (see below), whose sum is σ = 202652768635. Its totient is φ = 47682304640.

The previous prime is 99873696731. The next prime is 99873696847. The reversal of 99873696784 is 48769637899.

It is a happy number.

The square root of 99873696784 is 316028.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 81551367184 + 18322329600 = 285572^2 + 135360^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 99873696784.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2124972249 + ... + 2124972295.

Almost surely, 299873696784 is an apocalyptic number.

99873696784 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

99873696784 is the 316028-th square number.

It is an amenable number.

99873696784 is an abundant number, since it is smaller than the sum of its proper divisors (102779071851).

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

99873696784 is an frugal number, since it uses more digits than its factorization.

99873696784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 90 counting only the distinct ones).

The product of its digits is 987614208, while the sum is 76.

The spelling of 99873696784 in words is "ninety-nine billion, eight hundred seventy-three million, six hundred ninety-six thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 41 47 82 94 164 188 328 376 656 752 1681 1927 2209 3362 3854 4418 6724 7708 8836 13448 15416 17672 26896 30832 35344 68921 79007 90569 137842 158014 181138 275684 316028 362276 551368 632056 724552 1102736 1264112 1449104 2825761 3239287 3713329 5651522 6478574 7426658 11303044 12957148 14853316 22606088 25914296 29706632 45212176 51828592 59413264 132810767 152246489 265621534 304492978 531243068 608985956 1062486136 1217971912 2124972272 2435943824 6242106049 12484212098 24968424196 49936848392 99873696784