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16309720144692 = 223213672292271383
BaseRepresentation
bin1110110101010110011100…
…0100110101101100110100
32010202012020102212100021200
43231111213010311230310
54114204301324112232
654404325413412500
73302224032554322
oct355254704655464
963665212770250
1016309720144692
115218a059122a7
1219b4b2433a130
1391400003a810
14405574d74d12
151d43beab777c
hexed567135b34

16309720144692 has 144 divisors (see below), whose sum is σ = 45258143898240. Its totient is φ = 4921884912384.

The previous prime is 16309720144681. The next prime is 16309720144723. The reversal of 16309720144692 is 29644102790361.

16309720144692 is a `hidden beast` number, since 1 + 6 + 3 + 0 + 97 + 20 + 1 + 446 + 92 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6044833 + ... + 8316215.

It is an arithmetic number, because the mean of its divisors is an integer number (314292665960).

Almost surely, 216309720144692 is an apocalyptic number.

16309720144692 is a gapful number since it is divisible by the number (12) 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 16309720144692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22629071949120).

16309720144692 is an abundant number, since it is smaller than the sum of its proper divisors (28948423753548).

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

16309720144692 is a wasteful number, since it uses less digits than its factorization.

16309720144692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2271702 (or 2271697 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 16309720144692 in words is "sixteen trillion, three hundred nine billion, seven hundred twenty million, one hundred forty-four thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 67 78 117 134 156 201 229 234 268 402 458 468 603 687 804 871 916 1206 1374 1742 2061 2412 2613 2748 2977 3484 4122 5226 5954 7839 8244 8931 10452 11908 15343 15678 17862 26793 30686 31356 35724 46029 53586 61372 92058 107172 138087 184116 199459 276174 398918 552348 598377 797836 1196754 1795131 2271383 2393508 3590262 4542766 6814149 7180524 9085532 13628298 20442447 27256596 29527979 40884894 59055958 81769788 88583937 118111916 152182661 177167874 265751811 304365322 354335748 456547983 520146707 531503622 608730644 913095966 1040293414 1063007244 1369643949 1560440121 1826191932 1978374593 2080586828 2739287898 3120880242 3956749186 4681320363 5478575796 5935123779 6241760484 6761907191 7913498372 9362640726 11870247558 13523814382 17805371337 18725281452 20285721573 23740495116 27047628764 34849829369 35610742674 40571443146 60857164719 69699658738 71221485348 81142886292 104549488107 121714329438 139399317476 209098976214 243428658876 313648464321 418197952428 453047781797 627296928642 906095563594 1254593857284 1359143345391 1812191127188 2718286690782 4077430036173 5436573381564 8154860072346 16309720144692