Search a number
-
+
19967863196541 = 31319233079913851
BaseRepresentation
bin1001000101001001000010…
…11001001000101101111101
32121200220112201101201222210
410202210201121020231331
510104123140434242131
6110245035410531033
74130426156503221
oct442444131105575
977626481351883
1019967863196541
1163a9361238a37
1222a5aa4b96a79
13b1ac663161c0
144d0642106781
15249623875146
hex122921648b7d

19967863196541 has 128 divisors (see below), whose sum is σ = 31635735183360. Its totient is φ = 11084695776000.

The previous prime is 19967863196539. The next prime is 19967863196549. The reversal of 19967863196541 is 14569136876991.

It is not a de Polignac number, because 19967863196541 - 21 = 19967863196539 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19967863196549) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5185109266 + ... + 5185113116.

It is an arithmetic number, because the mean of its divisors is an integer number (247154181120).

Almost surely, 219967863196541 is an apocalyptic number.

It is an amenable number.

19967863196541 is a deficient number, since it is larger than the sum of its proper divisors (11667871986819).

19967863196541 is a wasteful number, since it uses less digits than its factorization.

19967863196541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5207.

The product of its digits is 529079040, while the sum is 75.

The spelling of 19967863196541 in words is "nineteen trillion, nine hundred sixty-seven billion, eight hundred sixty-three million, one hundred ninety-six thousand, five hundred forty-one".

Divisors: 1 3 13 19 23 39 57 69 247 299 307 437 741 897 921 991 1311 2973 3851 3991 5681 5833 7061 11553 11973 12883 17043 17499 18829 21183 22793 38649 50063 56487 68379 73169 75829 88573 91793 134159 150189 219507 227487 244777 265719 275379 296309 304237 402477 433067 734331 888927 912711 951197 1151449 1182257 1299201 1682887 1744067 2853591 3454347 3546771 3816341 3955081 5048661 5232201 5629871 5780503 6997451 11449023 11865243 15369341 16889613 17341509 20992353 21877531 22462883 27191911 46108023 49612433 65632593 67388649 72510479 75146539 81575733 87775843 90966863 132951569 148837299 217531437 225439617 263327529 272900589 292017479 353494843 398854707 516646309 876052437 942636227 1060484529 1141085959 1171616687 1549938927 1667741017 1728370397 2827908681 3423257877 3514850061 5003223051 5185111191 6716402017 15231016931 20149206051 21680633221 22260717053 26947183801 45693050793 65041899663 66782151159 80841551403 289389321689 350313389413 511996492219 868167965067 1050940168239 1535989476657 6655954398847 19967863196541