Search a number
-
+
994314390600 = 2335217919910597
BaseRepresentation
bin11100111100000011100…
…00011000110001001000
310112001111110221112122010
432132001300120301020
5112242323440444400
62040440504055520
7131560015604226
oct16360160306110
93461443845563
10994314390600
11353760608453
12140855a645a0
13729c0398a1b
14361a72b5b16
151ace7531450
hexe781c18c48

994314390600 has 192 divisors, whose sum is σ = 3264353568000. Its totient is φ = 249502740480.

The previous prime is 994314390569. The next prime is 994314390607. The reversal of 994314390600 is 6093413499.

It is a super-2 number, since 2×9943143906002 (a number of 25 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 994314390600.

It is not an unprimeable number, because it can be changed into a prime (994314390607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93824502 + ... + 93835098.

It is an arithmetic number, because the mean of its divisors is an integer number (17001841500).

Almost surely, 2994314390600 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 994314390600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632176784000).

994314390600 is an abundant number, since it is smaller than the sum of its proper divisors (2270039177400).

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

994314390600 is a wasteful number, since it uses less digits than its factorization.

994314390600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19832 (or 19823 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 48.

The spelling of 994314390600 in words is "nine hundred ninety-four billion, three hundred fourteen million, three hundred ninety thousand, six hundred".