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19345928056 = 23713175872663
BaseRepresentation
bin10010000001000110…
…110110111101111000
31211221020202222012221
4102001012312331320
5304110024144211
612515402213424
71253260450420
oct220106667570
954836688187
1019345928056
1182282aa0a4
1238baab4274
131a94029410
14d174a5480
1578361bc71
hex4811b6f78

19345928056 has 128 divisors (see below), whose sum is σ = 47368903680. Its totient is φ = 7188166656.

The previous prime is 19345928053. The next prime is 19345928071. The reversal of 19345928056 is 65082954391.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 19345927994 and 19345928012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19345928053) 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 31 ways as a sum of consecutive naturals, for example, 7263381 + ... + 7266043.

It is an arithmetic number, because the mean of its divisors is an integer number (370069560).

Almost surely, 219345928056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19345928056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23684451840).

19345928056 is an abundant number, since it is smaller than the sum of its proper divisors (28022975624).

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

19345928056 is a wasteful number, since it uses less digits than its factorization.

19345928056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3293 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 52.

The spelling of 19345928056 in words is "nineteen billion, three hundred forty-five million, nine hundred twenty-eight thousand, fifty-six".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 52 56 68 91 104 119 136 182 221 238 364 442 476 587 728 884 952 1174 1547 1768 2348 2663 3094 4109 4696 5326 6188 7631 8218 9979 10652 12376 15262 16436 18641 19958 21304 30524 32872 34619 37282 39916 45271 53417 61048 69238 69853 74564 79832 90542 106834 129727 138476 139706 149128 181084 213668 242333 259454 276952 279412 316897 362168 427336 484666 518908 558824 588523 633794 908089 969332 1037816 1177046 1267588 1563181 1816178 1938664 2354092 2535176 3126362 3632356 4119661 4708184 6252724 7264712 8239322 10942267 12505448 16478644 20321353 21884534 26574077 32957288 40642706 43769068 53148154 81285412 87538136 106296308 142249471 162570824 186018539 212592616 284498942 345463001 372037078 568997884 690926002 744074156 1137995768 1381852004 1488148312 2418241007 2763704008 4836482014 9672964028 19345928056