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20173114416 = 24371319243073
BaseRepresentation
bin10010110010011010…
…010100110000110000
31221001220021101120210
4102302122110300300
5312303304130131
613133431504120
71312623433440
oct226232246060
957056241523
1020173114416
118612219494
123aabb28040
131b9650a6c0
14d952aa120
157d1064146
hex4b2694c30

20173114416 has 160 divisors (see below), whose sum is σ = 67516234240. Its totient is φ = 5040340992.

The previous prime is 20173114399. The next prime is 20173114427. The reversal of 20173114416 is 61441137102.

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, 38545 + ... + 204528.

It is an arithmetic number, because the mean of its divisors is an integer number (421976464).

Almost surely, 220173114416 is an apocalyptic number.

20173114416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20173114416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33758117120).

20173114416 is an abundant number, since it is smaller than the sum of its proper divisors (47343119824).

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

20173114416 is a wasteful number, since it uses less digits than its factorization.

20173114416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243123 (or 243117 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 20173114416 in words is "twenty billion, one hundred seventy-three million, one hundred fourteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 38 39 42 48 52 56 57 76 78 84 91 104 112 114 133 152 156 168 182 208 228 247 266 273 304 312 336 364 399 456 494 532 546 624 728 741 798 912 988 1064 1092 1456 1482 1596 1729 1976 2128 2184 2964 3192 3458 3952 4368 5187 5928 6384 6916 10374 11856 13832 20748 27664 41496 82992 243073 486146 729219 972292 1458438 1701511 1944584 2916876 3159949 3403022 3889168 4618387 5104533 5833752 6319898 6806044 9236774 9479847 10209066 11667504 12639796 13612088 13855161 18473548 18959694 20418132 22119643 25279592 27224176 27710322 32328709 36947096 37919388 40836264 44239286 50559184 55420644 60039031 64657418 66358929 73894192 75838776 81672528 88478572 96986127 110841288 120078062 129314836 132717858 151677552 176957144 180117093 193972254 221682576 240156124 258629672 265435716 353914288 360234186 387944508 420273217 480312248 517259344 530871432 720468372 775889016 840546434 960624496 1061742864 1260819651 1440936744 1551778032 1681092868 2521639302 2881873488 3362185736 5043278604 6724371472 10086557208 20173114416