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199434133965 = 351117308923017
BaseRepresentation
bin1011100110111100110…
…0110110000111001101
3201001202220111201020010
42321233030312013031
511231420114241330
6231341353343433
720260110111543
oct2715714660715
9631686451203
10199434133965
1177641407720
123279a107b79
1315a640150c1
14991cca1d93
1552c394a3b0
hex2e6f3361cd

199434133965 has 64 divisors (see below), whose sum is σ = 368715214080. Its totient is φ = 90973962240.

The previous prime is 199434133963. The next prime is 199434133979. The reversal of 199434133965 is 569331434991.

It is a happy number.

It is not a de Polignac number, because 199434133965 - 21 = 199434133963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199434133963) 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, 8653137 + ... + 8676153.

It is an arithmetic number, because the mean of its divisors is an integer number (5761175220).

Almost surely, 2199434133965 is an apocalyptic number.

199434133965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

199434133965 is a deficient number, since it is larger than the sum of its proper divisors (169281080115).

199434133965 is a wasteful number, since it uses less digits than its factorization.

199434133965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26142.

The product of its digits is 9447840, while the sum is 57.

The spelling of 199434133965 in words is "one hundred ninety-nine billion, four hundred thirty-four million, one hundred thirty-three thousand, nine hundred sixty-five".

Divisors: 1 3 5 11 15 17 33 51 55 85 165 187 255 561 935 2805 3089 9267 15445 23017 33979 46335 52513 69051 101937 115085 157539 169895 253187 262565 345255 391289 509685 577643 759561 787695 1173867 1265935 1732929 1956445 2888215 3797805 4304179 5869335 8664645 12912537 21520895 64562685 71099513 213298539 355497565 782094643 1066492695 1208691721 2346283929 3626075163 3910473215 6043458605 11731419645 13295608931 18130375815 39886826793 66478044655 199434133965