Search a number
-
+
19923084765 = 3258910149253
BaseRepresentation
bin10010100011100000…
…100010010111011101
31220102110210120101100
4102203200202113131
5311300302203030
613052540503313
71303466266143
oct224340422735
956373716340
1019923084765
1184a4075511
123a4024ab39
131b5678766c
14d6ddc3593
157b9126360
hex4a38225dd

19923084765 has 48 divisors (see below), whose sum is σ = 35267834160. Its totient is φ = 10402022400.

The previous prime is 19923084761. The next prime is 19923084773. The reversal of 19923084765 is 56748032991.

It can be written as a sum of positive squares in 8 ways, for example, as 508006521 + 19415078244 = 22539^2 + 139338^2 .

It is not a de Polignac number, because 19923084765 - 22 = 19923084761 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19923084761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379879 + ... + 429131.

It is an arithmetic number, because the mean of its divisors is an integer number (734746545).

It is a 1-persistent number, because it is pandigital, but 2⋅19923084765 = 39846169530 is not.

Almost surely, 219923084765 is an apocalyptic number.

19923084765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

19923084765 is a deficient number, since it is larger than the sum of its proper divisors (15344749395).

19923084765 is a wasteful number, since it uses less digits than its factorization.

19923084765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49454 (or 49451 counting only the distinct ones).

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

The spelling of 19923084765 in words is "nineteen billion, nine hundred twenty-three million, eighty-four thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 15 45 89 101 267 303 445 505 801 909 1335 1515 4005 4545 8989 26967 44945 49253 80901 134835 147759 246265 404505 443277 738795 2216385 4383517 4974553 13150551 14923659 21917585 24872765 39451653 44770977 65752755 74618295 197258265 223854885 442735217 1328205651 2213676085 3984616953 6641028255 19923084765