Search a number
-
+
99000672736 = 2575917941849
BaseRepresentation
bin101110000110011100…
…1100110000111100000
3100110112112020020221211
41130030321212013200
53110223133011421
6113251423555504
710103220555640
oct1341471460740
9313475206854
1099000672736
1138a933317a9
121722b15bb94
139449779834
144b1244a520
15289663c9e1
hex170ce661e0

99000672736 has 96 divisors (see below), whose sum is σ = 227797920000. Its totient is φ = 41475720192.

The previous prime is 99000672707. The next prime is 99000672739. The reversal of 99000672736 is 63727600099.

It is a super-2 number, since 2×990006727362 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 99000672736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99000672739) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2344740 + ... + 2386588.

It is an arithmetic number, because the mean of its divisors is an integer number (2372895000).

Almost surely, 299000672736 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 99000672736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113898960000).

99000672736 is an abundant number, since it is smaller than the sum of its proper divisors (128797247264).

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

99000672736 is a wasteful number, since it uses less digits than its factorization.

99000672736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42104 (or 42096 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 49.

The spelling of 99000672736 in words is "ninety-nine billion, six hundred seventy-two thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 112 118 179 224 236 358 413 472 716 826 944 1253 1432 1652 1888 2506 2864 3304 5012 5728 6608 10024 10561 13216 20048 21122 40096 41849 42244 73927 83698 84488 147854 167396 168976 292943 295708 334792 337952 585886 591416 669584 1171772 1182832 1339168 2343544 2365664 2469091 4687088 4938182 7490971 9374176 9876364 14981942 17283637 19752728 29963884 34567274 39505456 52436797 59927768 69134548 79010912 104873594 119855536 138269096 209747188 239711072 276538192 419494376 441967289 553076384 838988752 883934578 1677977504 1767869156 3093771023 3535738312 6187542046 7071476624 12375084092 14142953248 24750168184 49500336368 99000672736