Search a number
-
+
19717273344 = 283109235537
BaseRepresentation
bin10010010111001111…
…011011011100000000
31212220010112021012010
4102113033123130000
5310340110221334
613020305332520
71265420025636
oct222717333400
955803467163
1019717273344
1183a898332a
1239a3337140
131b22c47162
14d5092b356
157a60200e9
hex4973db700

19717273344 has 72 divisors (see below), whose sum is σ = 52958363920. Its totient is φ = 6512099328.

The previous prime is 19717273343. The next prime is 19717273349. The reversal of 19717273344 is 44337271791.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 19717273293 and 19717273302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19717273343) 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 7 ways as a sum of consecutive naturals, for example, 34057 + ... + 201480.

Almost surely, 219717273344 is an apocalyptic number.

It is an amenable number.

19717273344 is an abundant number, since it is smaller than the sum of its proper divisors (33241090576).

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

19717273344 is a wasteful number, since it uses less digits than its factorization.

19717273344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235665 (or 235651 counting only the distinct ones).

The product of its digits is 889056, while the sum is 48.

The spelling of 19717273344 in words is "nineteen billion, seven hundred seventeen million, two hundred seventy-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 192 218 256 327 384 436 654 768 872 1308 1744 2616 3488 5232 6976 10464 13952 20928 27904 41856 83712 235537 471074 706611 942148 1413222 1884296 2826444 3768592 5652888 7537184 11305776 15074368 22611552 25673533 30148736 45223104 51347066 60297472 77020599 90446208 102694132 154041198 180892416 205388264 308082396 410776528 616164792 821553056 1232329584 1643106112 2464659168 3286212224 4929318336 6572424448 9858636672 19717273344