Search a number
-
+
9980111232 = 2732713313783
BaseRepresentation
bin10010100101101110…
…00110100110000000
3221202112100011212100
421102313012212000
5130414402024412
64330152230400
7502213355130
oct112267064600
927675304770
109980111232
114261570313
121b2639b400
13c30845880
146a9666ac0
153d627eedc
hex252dc6980

9980111232 has 768 divisors, whose sum is σ = 37924024320. Its totient is φ = 2448506880.

The previous prime is 9980111221. The next prime is 9980111261. The reversal of 9980111232 is 2321110899.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120242263 + ... + 120242345.

It is an arithmetic number, because the mean of its divisors is an integer number (49380240).

Almost surely, 29980111232 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 9980111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18962012160).

9980111232 is an abundant number, since it is smaller than the sum of its proper divisors (27943913088).

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

9980111232 is a wasteful number, since it uses less digits than its factorization.

9980111232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 9980111232 is about 99900.5066653818. The cubic root of 9980111232 is about 2153.0054403548.

The spelling of 9980111232 in words is "nine billion, nine hundred eighty million, one hundred eleven thousand, two hundred thirty-two".