Search a number
-
+
9987424100 = 22521910495011
BaseRepresentation
bin10010100110100101…
…11111111101100100
3221210001002201020022
421103102333331210
5130423240032400
64331013054312
7502332463343
oct112322777544
927701081208
109987424100
114265705605
121b28927398
13c32206304
146aa60bb5a
153d6c26b85
hex2534bff64

9987424100 has 72 divisors (see below), whose sum is σ = 22839684000. Its totient is φ = 3780345600.

The previous prime is 9987424099. The next prime is 9987424121. The reversal of 9987424100 is 14247899.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1990595 + ... + 1995605.

Almost surely, 29987424100 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 9987424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11419842000).

9987424100 is an abundant number, since it is smaller than the sum of its proper divisors (12852259900).

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

9987424100 is a wasteful number, since it uses less digits than its factorization.

9987424100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6093 (or 6086 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 9987424100 is about 99937.1007184019. The cubic root of 9987424100 is about 2153.5311793367.

The spelling of 9987424100 in words is "nine billion, nine hundred eighty-seven million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1049 1900 2098 4196 5011 5245 10022 10490 19931 20044 20980 25055 26225 39862 50110 52450 79724 95209 99655 100220 104900 125275 190418 199310 250550 380836 398620 476045 498275 501100 952090 996550 1904180 1993100 2380225 4760450 5256539 9520900 10513078 21026156 26282695 52565390 99874241 105130780 131413475 199748482 262826950 399496964 499371205 525653900 998742410 1997484820 2496856025 4993712050 9987424100