Search a number
-
+
993083855232 = 27371931627251
BaseRepresentation
bin11100111001110000110…
…10010001000110000000
310111221022201110212110010
432130320122101012000
5112232313431331412
62040114425304520
7131514354330450
oct16347032210600
93457281425403
10993083855232
11353189a45a77
12140571935140
13728554729a1
14360cbab7d60
151ac744b333c
hexe738691180

993083855232 has 256 divisors, whose sum is σ = 3275760844800. Its totient is φ = 260133120000.

The previous prime is 993083855221. The next prime is 993083855237. The reversal of 993083855232 is 232558380399.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993083855237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1269607 + ... + 1896857.

It is an arithmetic number, because the mean of its divisors is an integer number (12795940800).

Almost surely, 2993083855232 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 993083855232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637880422400).

993083855232 is an abundant number, since it is smaller than the sum of its proper divisors (2282676989568).

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

993083855232 is a wasteful number, since it uses less digits than its factorization.

993083855232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627325 (or 627313 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 57.

The spelling of 993083855232 in words is "nine hundred ninety-three billion, eighty-three million, eight hundred fifty-five thousand, two hundred thirty-two".