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19073486328 = 233131731311489
BaseRepresentation
bin10001110000110111…
…100100110111111000
31211020021010111102120
4101300313210313320
5303030303030303
612432351001240
71243441646601
oct216067446770
954207114376
1019073486328
1180a8538646
123843809220
131a4c75a0b0
14ccd226da8
15769753553
hex470de4df8

19073486328 has 128 divisors (see below), whose sum is σ = 54550843200. Its totient is φ = 5505417216.

The previous prime is 19073486323. The next prime is 19073486359. The reversal of 19073486328 is 82368437091.

19073486328 is nontrivially palindromic in base 5.

19073486328 is a nontrivial binomial coefficient, being equal to C(195313, 2).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

19073486328 is an undulating number in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19073486323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1654408 + ... + 1665896.

Almost surely, 219073486328 is an apocalyptic number.

19073486328 is the 195312-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19073486328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27275421600).

19073486328 is an abundant number, since it is smaller than the sum of its proper divisors (35477356872).

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

19073486328 is a wasteful number, since it uses less digits than its factorization.

19073486328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11841 (or 11837 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 19073486328 in words is "nineteen billion, seventy-three million, four hundred eighty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 313 408 442 626 663 884 939 1252 1326 1768 1878 2504 2652 3756 4069 5304 5321 7512 8138 10642 11489 12207 15963 16276 21284 22978 24414 31926 32552 34467 42568 45956 48828 63852 68934 69173 91912 97656 127704 137868 138346 149357 195313 207519 275736 276692 298714 390626 415038 448071 553384 585939 597428 781252 830076 896142 1171878 1194856 1562504 1660152 1792284 2343756 2539069 3584568 3596057 4687512 5078138 7192114 7617207 10156276 10788171 14384228 15234414 20312552 21576342 28768456 30468828 43152684 46748741 60937656 61132969 86305368 93497482 122265938 140246223 183398907 186994964 244531876 280492446 366797814 373989928 489063752 560984892 733595628 794728597 1121969784 1467191256 1589457194 2384185791 3178914388 4768371582 6357828776 9536743164 19073486328