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993323323400 = 23524966616617
BaseRepresentation
bin11100111010001101010…
…11110001000000001000
310111221221102002010000112
432131012223301000020
5112233311232322100
62040154302053452
7131523322636412
oct16350653610010
93457842063015
10993323323400
113532a2135a51
12140619b7a288
1372892c68725
14361118119b2
151ac8a516b35
hexe746af1008

993323323400 has 24 divisors (see below), whose sum is σ = 2309476727370. Its totient is φ = 397329329280.

The previous prime is 993323323379. The next prime is 993323323439. The reversal of 993323323400 is 4323323399.

It can be written as a sum of positive squares in 3 ways, for example, as 543160156036 + 450163167364 = 736994^2 + 670942^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2483308109 + ... + 2483308508.

Almost surely, 2993323323400 is an apocalyptic number.

It is an amenable number.

993323323400 is an abundant number, since it is smaller than the sum of its proper divisors (1316153403970).

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

993323323400 is a wasteful number, since it uses less digits than its factorization.

993323323400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4966616633 (or 4966616624 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 41.

Adding to 993323323400 its reverse (4323323399), we get a palindrome (997646646799).

The spelling of 993323323400 in words is "nine hundred ninety-three billion, three hundred twenty-three million, three hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 4966616617 9933233234 19866466468 24833083085 39732932936 49666166170 99332332340 124165415425 198664664680 248330830850 496661661700 993323323400