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19385974431 = 3383137233271
BaseRepresentation
bin10010000011011111…
…100111111010011111
31212001001010112112000
4102003133213322133
5304200302140211
612523352413343
71254255030615
oct220337477237
955031115460
1019385974431
11824897157a
1239103a7253
131a9c40b0b5
14d1c92b6b5
15786dcc656
hex4837e7e9f

19385974431 has 64 divisors (see below), whose sum is σ = 29512304640. Its totient is φ = 12574103040.

The previous prime is 19385974409. The next prime is 19385974457. The reversal of 19385974431 is 13447958391.

19385974431 is a `hidden beast` number, since 1 + 9 + 3 + 8 + 597 + 4 + 43 + 1 = 666.

It is not a de Polignac number, because 19385974431 - 226 = 19318865567 is a prime.

It is a super-2 number, since 2×193859744312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19385974481) 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, 71534826 + ... + 71535096.

It is an arithmetic number, because the mean of its divisors is an integer number (461129760).

Almost surely, 219385974431 is an apocalyptic number.

19385974431 is a deficient number, since it is larger than the sum of its proper divisors (10126330209).

19385974431 is a wasteful number, since it uses less digits than its factorization.

19385974431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 727 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 19385974431 in words is "nineteen billion, three hundred eighty-five million, nine hundred seventy-four thousand, four hundred thirty-one".

Divisors: 1 3 9 27 83 137 233 249 271 411 699 747 813 1233 2097 2241 2439 3699 6291 7317 11371 19339 22493 31921 34113 37127 58017 63143 67479 95763 102339 111381 174051 189429 202437 287289 307017 334143 522153 568287 607311 861867 1002429 1704861 2649443 3081541 5240869 7948329 8650591 9244623 15722607 23844987 25951773 27733869 47167821 71534961 77855319 83201607 141503463 233565957 717999053 2153997159 6461991477 19385974431