Search a number
-
+
990996547200 = 273521123408019
BaseRepresentation
bin11100110101110111111…
…11110100011010000000
310111201221020211122010020
432122323333310122000
5112214030104002300
62035131343133440
7131411550444342
oct16327377643200
93451836748106
10990996547200
11352308796610
1214008a8a4280
13725b1ba9a8a
1435d707b3292
151aba11068a0
hexe6bbff4680

990996547200 has 384 divisors, whose sum is σ = 3715658611200. Its totient is φ = 229795737600.

The previous prime is 990996547159. The next prime is 990996547201. The reversal of 990996547200 is 2745699099.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (990996547201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2224791 + ... + 2632809.

It is an arithmetic number, because the mean of its divisors is an integer number (9676194300).

Almost surely, 2990996547200 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 990996547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857829305600).

990996547200 is an abundant number, since it is smaller than the sum of its proper divisors (2724662064000).

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

990996547200 is a wasteful number, since it uses less digits than its factorization.

990996547200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408080 (or 408063 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 60.

The spelling of 990996547200 in words is "nine hundred ninety billion, nine hundred ninety-six million, five hundred forty-seven thousand, two hundred".