Search a number
-
+
16681918346079 = 37113211330110093
BaseRepresentation
bin1111001011000000111111…
…0100010011001101011111
32012001202221120110000022120
43302300033310103031133
54141304032044033304
655251322324514023
73341141326225020
oct362601764231537
965052846400276
1016681918346079
115351842011928
121a5509884b913
1394013783583c
144195a2a1cc47
151dde0584b0d9
hexf2c0fd1335f

16681918346079 has 64 divisors (see below), whose sum is σ = 25776922149888. Its totient is φ = 9399608064000.

The previous prime is 16681918346021. The next prime is 16681918346081. The reversal of 16681918346079 is 97064381918661.

It is not a de Polignac number, because 16681918346079 - 27 = 16681918345951 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16681918346099) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1652815557 + ... + 1652825649.

It is an arithmetic number, because the mean of its divisors is an integer number (402764408592).

Almost surely, 216681918346079 is an apocalyptic number.

16681918346079 is a deficient number, since it is larger than the sum of its proper divisors (9095003803809).

16681918346079 is a wasteful number, since it uses less digits than its factorization.

16681918346079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13728.

The product of its (nonzero) digits is 94058496, while the sum is 69.

The spelling of 16681918346079 in words is "sixteen trillion, six hundred eighty-one billion, nine hundred eighteen million, three hundred forty-six thousand, seventy-nine".

Divisors: 1 3 7 21 113 211 339 633 791 1477 2373 3301 4431 9903 10093 23107 23843 30279 69321 70651 71529 166901 211953 373013 500703 696511 1119039 1140509 2089533 2129623 2611091 3421527 4875577 6388869 7833273 7983563 14626731 14907361 23950689 33316993 44722083 78705743 99950979 233218951 236117229 240647399 550940201 699656853 721942197 1652820603 1684531793 3764820209 5053595379 7029885523 11294460627 21089656569 26353741463 49209198661 79061224389 147627595983 794377064099 2383131192297 5560639448693 16681918346079