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19743034311 = 33711131938447
BaseRepresentation
bin10010011000110001…
…101100101111000111
31212221221000001121000
4102120301230233013
5310413204044221
613023025424343
71266152010540
oct223061545707
955857001530
1019743034311
118411478990
1239aba9b0b3
131b28396830
14d541154c7
157a840ce26
hex498c6cbc7

19743034311 has 128 divisors (see below), whose sum is σ = 41339289600. Its totient is φ = 8968682880.

The previous prime is 19743034307. The next prime is 19743034321. The reversal of 19743034311 is 11343034791.

It is a happy number.

19743034311 is a `hidden beast` number, since 197 + 4 + 30 + 3 + 431 + 1 = 666.

It is not a de Polignac number, because 19743034311 - 22 = 19743034307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19743034321) 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, 494290 + ... + 532736.

It is an arithmetic number, because the mean of its divisors is an integer number (322963200).

Almost surely, 219743034311 is an apocalyptic number.

19743034311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

19743034311 is an abundant number, since it is smaller than the sum of its proper divisors (21596255289).

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

19743034311 is a wasteful number, since it uses less digits than its factorization.

19743034311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38506 (or 38500 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 19743034311 in words is "nineteen billion, seven hundred forty-three million, thirty-four thousand, three hundred eleven".

Divisors: 1 3 7 9 11 13 19 21 27 33 39 57 63 77 91 99 117 133 143 171 189 209 231 247 273 297 351 399 429 513 627 693 741 819 1001 1197 1287 1463 1729 1881 2079 2223 2457 2717 3003 3591 3861 4389 5187 5643 6669 8151 9009 13167 15561 19019 24453 27027 38447 39501 46683 57057 73359 115341 171171 269129 346023 422917 499811 513513 730493 807387 1038069 1268751 1499433 2191479 2422161 2960419 3498677 3806253 4498299 5113451 5497921 6574437 7266483 8035423 8881257 9496409 10496031 11418759 13494897 15340353 16493763 19723311 24106269 26643771 28489227 31488093 38485447 46021059 49481289 56247961 66474863 72318807 79931313 85467681 94464279 104460499 115456341 138063177 148443867 168743883 199424589 216956421 256403043 313381497 346369023 506231649 598273767 731223493 940144491 1039107069 1518694947 1794821301 2193670479 2820433473 6581011437 19743034311