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16940974710348 = 2232131971056717389
BaseRepresentation
bin1111011010000110000011…
…0001111001111001001100
32012222112121122200211200200
43312201200301321321030
54210030104011212343
6100010324253453500
73365642101051113
oct366414061717114
965875548624620
1016940974710348
115441699634647
121a973361a1290
1395b6b0c4ab50
14427d3a118c7a
151e5a187774d3
hexf6860c79e4c

16940974710348 has 144 divisors (see below), whose sum is σ = 46358246975040. Its totient is φ = 5185358664192.

The previous prime is 16940974710313. The next prime is 16940974710377. The reversal of 16940974710348 is 84301747904961.

16940974710348 is a `hidden beast` number, since 1 + 6 + 9 + 40 + 97 + 471 + 0 + 34 + 8 = 666.

16940974710348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×169409747103482 (a number of 27 digits) contains 22 as substring.

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, 974226438 + ... + 974243826.

It is an arithmetic number, because the mean of its divisors is an integer number (321932270660).

Almost surely, 216940974710348 is an apocalyptic number.

16940974710348 is a gapful number since it is divisible by the number (18) 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 16940974710348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23179123487520).

16940974710348 is an abundant number, since it is smaller than the sum of its proper divisors (29417272264692).

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

16940974710348 is a wasteful number, since it uses less digits than its factorization.

16940974710348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28176 (or 28171 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 16940974710348 in words is "sixteen trillion, nine hundred forty billion, nine hundred seventy-four million, seven hundred ten thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 197 234 394 468 591 788 1182 1773 2364 2561 3546 5122 7092 7683 10244 10567 15366 17389 21134 23049 30732 31701 34778 42268 46098 52167 63402 69556 92196 95103 104334 126804 137371 156501 190206 208668 226057 274742 313002 380412 412113 452114 549484 626004 678171 824226 904228 1236339 1356342 1648452 2034513 2081699 2472678 2712684 3425633 4069026 4163398 4945356 6245097 6851266 8138052 8326796 10276899 12490194 13702532 18735291 20553798 24980388 27062087 30830697 37470582 41107596 44533229 54124174 61661394 74941164 81186261 89066458 108248348 123322788 133599687 162372522 178132916 183749563 243558783 267199374 324745044 367499126 400799061 487117566 534398748 551248689 734998252 801598122 974235132 1102497378 1603196244 1653746067 2204994756 2388744319 3307492134 4777488638 6614984268 7166232957 9554977276 14332465914 21498698871 28664931828 36198663911 42997397742 72397327822 85994795484 108595991733 144794655644 217191983466 325787975199 434383966932 470582630843 651575950398 941165261686 1303151900796 1411747892529 1882330523372 2823495785058 4235243677587 5646991570116 8470487355174 16940974710348