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19427138892 = 223271714533121
BaseRepresentation
bin10010000101111100…
…101001110101001100
31212010220120220112200
4102011330221311030
5304241321421032
612531423001500
71255264645620
oct220574516514
955126526480
1019427138892
11826a127a97
123922139290
131aa7ac1975
14d241a5180
1578a80e47c
hex485f29d4c

19427138892 has 144 divisors (see below), whose sum is σ = 59484140352. Its totient is φ = 5218836480.

The previous prime is 19427138881. The next prime is 19427138893. The reversal of 19427138892 is 29883172491.

19427138892 is a `hidden beast` number, since 1 + 9 + 427 + 138 + 89 + 2 = 666.

Its product of digits (1741824) is a multiple of the sum of its prime factors (4608).

It is not an unprimeable number, because it can be changed into a prime (19427138893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6223092 + ... + 6226212.

It is an arithmetic number, because the mean of its divisors is an integer number (413084308).

Almost surely, 219427138892 is an apocalyptic number.

19427138892 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 19427138892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29742070176).

19427138892 is an abundant number, since it is smaller than the sum of its proper divisors (40057001460).

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

19427138892 is a wasteful number, since it uses less digits than its factorization.

19427138892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4608 (or 4603 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 19427138892 in words is "nineteen billion, four hundred twenty-seven million, one hundred thirty-eight thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 1453 2142 2906 3121 4284 4359 5812 6242 8718 9363 10171 12484 13077 17436 18726 20342 21847 24701 26154 28089 30513 37452 40684 43694 49402 52308 53057 56178 61026 65541 74103 87388 91539 98804 106114 112356 122052 131082 148206 159171 172907 183078 196623 212228 222309 262164 296412 318342 345814 366156 371399 393246 444618 477513 518721 636684 691628 742798 786492 889236 955026 1037442 1114197 1485596 1556163 1910052 2074884 2228394 3112326 3342591 4456788 4534813 6224652 6685182 9069626 13370364 13604439 18139252 27208878 31743691 40813317 54417756 63487382 77091821 81626634 95231073 126974764 154183642 163253268 190462146 231275463 285693219 308367284 380924292 462550926 539642747 571386438 693826389 925101852 1079285494 1142772876 1387652778 1618928241 2158570988 2775305556 3237856482 4856784723 6475712964 9713569446 19427138892