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16916215942392 = 23313471210995267
BaseRepresentation
bin1111011000101001110100…
…0010101100110011111000
32012220011201011201010000220
43312022131002230303320
54204123402240124032
655551111411300040
73364104413023134
oct366123502546370
965804634633026
1016916215942392
115432143992848
121a925865aa620
139592666a71b0
14426a6bc083c4
151e5069d5612c
hexf629d0accf8

16916215942392 has 128 divisors (see below), whose sum is σ = 46517001753600. Its totient is φ = 5093770894848.

The previous prime is 16916215942369. The next prime is 16916215942403. The reversal of 16916215942392 is 29324951261961.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177518743 + ... + 177614009.

It is an arithmetic number, because the mean of its divisors is an integer number (363414076200).

Almost surely, 216916215942392 is an apocalyptic number.

16916215942392 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 16916215942392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23258500876800).

16916215942392 is an abundant number, since it is smaller than the sum of its proper divisors (29600785811208).

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

16916215942392 is a wasteful number, since it uses less digits than its factorization.

16916215942392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107445 (or 107441 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 60.

The spelling of 16916215942392 in words is "sixteen trillion, nine hundred sixteen billion, two hundred fifteen million, nine hundred forty-two thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 47 52 78 94 104 141 156 188 282 312 376 564 611 1128 1222 1833 2444 3666 4888 7332 12109 14664 24218 36327 48436 72654 95267 96872 145308 157417 190534 285801 290616 314834 381068 472251 569123 571602 629668 762136 944502 1138246 1143204 1238471 1259336 1707369 1889004 2276492 2286408 2476942 3414738 3715413 3778008 4477549 4552984 4953884 6829476 7398599 7430826 8955098 9907768 13432647 13658952 14797198 14861652 17910196 22195797 26865294 29594396 29723304 35820392 44391594 53730588 58208137 59188792 88783188 107461176 116416274 174624411 177566376 232832548 349248822 465665096 698497644 1153588103 1396995288 2307176206 3460764309 4614352412 6921528618 9228704824 13843057236 14996645339 27686114472 29993290678 44989936017 54218640841 59986581356 89979872034 108437281682 119973162712 162655922523 179959744068 216874563364 325311845046 359919488136 433749126728 650623690092 704842330933 1301247380184 1409684661866 2114526992799 2819369323732 4229053985598 5638738647464 8458107971196 16916215942392