Search a number
-
+
19350516969 = 32747113151383
BaseRepresentation
bin10010000001011000…
…010111010011101001
31211221120102010000200
4102001120113103221
5304112213020334
612520044422413
71253344452240
oct220130272351
954846363020
1019350516969
11822a953893
123900547a09
131a94c75054
14d17d3b957
15783c26799
hex4816174e9

19350516969 has 96 divisors (see below), whose sum is σ = 33216528384. Its totient is φ = 10627545600.

The previous prime is 19350516947. The next prime is 19350517009. The reversal of 19350516969 is 96961505391.

It is a happy number.

19350516969 is a `hidden beast` number, since 1 + 9 + 35 + 0 + 516 + 96 + 9 = 666.

It is not a de Polignac number, because 19350516969 - 211 = 19350514921 is a prime.

It is a super-2 number, since 2×193505169692 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (19350516869) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50523352 + ... + 50523734.

It is an arithmetic number, because the mean of its divisors is an integer number (346005504).

Almost surely, 219350516969 is an apocalyptic number.

It is an amenable number.

19350516969 is a deficient number, since it is larger than the sum of its proper divisors (13866011415).

19350516969 is a wasteful number, since it uses less digits than its factorization.

19350516969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 1968300, while the sum is 54.

The spelling of 19350516969 in words is "nineteen billion, three hundred fifty million, five hundred sixteen thousand, nine hundred sixty-nine".

Divisors: 1 3 7 9 21 47 63 113 141 151 329 339 383 423 453 791 987 1017 1057 1149 1359 2373 2681 2961 3171 3447 5311 7097 7119 8043 9513 15933 17063 18001 21291 24129 37177 43279 47799 49679 51189 54003 57833 63873 111531 119441 126007 129837 149037 153567 162009 173499 302953 334593 358323 378021 389511 404831 447111 520497 801961 908859 1074969 1134063 1214493 2034113 2405883 2718151 2726577 3643479 5613727 6102339 6535129 7217649 8154453 14238791 16841181 18307017 19027057 19605387 24463359 42716373 45745903 50523543 57081171 58816161 128149119 137237709 171243513 307151063 411713127 921453189 2150057441 2764359567 6450172323 19350516969