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17933013198 = 2332315791967
BaseRepresentation
bin10000101100111001…
…000001000011001110
31201021210010110102000
4100230321001003032
5243211322410243
612123250413130
71203253045212
oct205471010316
951253113360
1017933013198
11767279a271
1235858911a6
1318ca3a8419
14c21990942
156ee5755d3
hex42ce410ce

17933013198 has 64 divisors (see below), whose sum is σ = 41849118720. Its totient is φ = 5681291616.

The previous prime is 17933013169. The next prime is 17933013209. The reversal of 17933013198 is 89131033971.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149011 + ... + 240977.

It is an arithmetic number, because the mean of its divisors is an integer number (653892480).

Almost surely, 217933013198 is an apocalyptic number.

17933013198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 17933013198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20924559360).

17933013198 is an abundant number, since it is smaller than the sum of its proper divisors (23916105522).

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

17933013198 is a wasteful number, since it uses less digits than its factorization.

17933013198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92158 (or 92152 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 17933013198 in words is "seventeen billion, nine hundred thirty-three million, thirteen thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 157 207 314 414 471 621 942 1242 1413 2826 3611 4239 7222 8478 10833 21666 32499 64998 91967 97497 183934 194994 275901 551802 827703 1655406 2115241 2483109 4230482 4966218 6345723 12691446 14438819 19037169 28877638 38074338 43316457 57111507 86632914 114223014 129949371 259898742 332092837 389848113 664185674 779696226 996278511 1992557022 2988835533 5977671066 8966506599 17933013198