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20167216219320 = 23359716879102647
BaseRepresentation
bin1001001010111100010111…
…10000100100010010111000
32122101222002222021120120220
410211132023300210102320
510120404424323004240
6110520405150020040
74151014263313242
oct445361360442270
978358088246526
1020167216219320
116475960885615
12231865baa7620
13b339b659c201
144da1542d3092
1524e8e00ec5d0
hex12578bc244b8

20167216219320 has 128 divisors (see below), whose sum is σ = 61129593907200. Its totient is φ = 5322114625536.

The previous prime is 20167216219279. The next prime is 20167216219321. The reversal of 20167216219320 is 2391261276102.

It is a happy number.

It is a super-2 number, since 2×201672162193202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20167216219321) 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, 196420237 + ... + 196522883.

It is an arithmetic number, because the mean of its divisors is an integer number (477574952400).

Almost surely, 220167216219320 is an apocalyptic number.

20167216219320 is a gapful number since it is divisible by the number (20) 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 20167216219320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30564796953600).

20167216219320 is an abundant number, since it is smaller than the sum of its proper divisors (40962377687880).

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

20167216219320 is a wasteful number, since it uses less digits than its factorization.

20167216219320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119637 (or 119633 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 20167216219320 in words is "twenty trillion, one hundred sixty-seven billion, two hundred sixteen million, two hundred nineteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 194 291 388 485 582 776 970 1164 1455 1940 2328 2910 3880 5820 11640 16879 33758 50637 67516 84395 101274 102647 135032 168790 202548 205294 253185 307941 337580 405096 410588 506370 513235 615882 675160 821176 1012740 1026470 1231764 1539705 1637263 2025480 2052940 2463528 3079410 3274526 4105880 4911789 6158820 6549052 8186315 9823578 9956759 12317640 13098104 16372630 19647156 19913518 24558945 29870277 32745260 39294312 39827036 49117890 49783795 59740554 65490520 79654072 98235780 99567590 119481108 149351385 196471560 199135180 238962216 298702770 398270360 597405540 1194811080 1732578713 3465157426 5197736139 6930314852 8662893565 10395472278 13860629704 17325787130 20790944556 25988680695 34651574260 41581889112 51977361390 69303148520 103954722780 168060135161 207909445560 336120270322 504180405483 672240540644 840300675805 1008360810966 1344481081288 1680601351610 2016721621932 2520902027415 3361202703220 4033443243864 5041804054830 6722405406440 10083608109660 20167216219320