Search a number
-
+
6849433344 = 28313686041
BaseRepresentation
bin1100110000100001…
…00000111100000000
3122200100102021011110
412120100200330000
5103011423331334
63051355043320
7331510136265
oct63020407400
918610367143
106849433344
1129a5365716
1213b1a40540
13852069150
1448d96526c
152a14c6ae9
hex198420f00

6849433344 has 72 divisors (see below), whose sum is σ = 19631777872. Its totient is φ = 2107514880.

The previous prime is 6849433333. The next prime is 6849433379. The reversal of 6849433344 is 4433349486.

It is a Smith number, since the sum of its digits (48) 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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 6849433293 and 6849433302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 333037 + ... + 353004.

Almost surely, 26849433344 is an apocalyptic number.

6849433344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6849433344 is an abundant number, since it is smaller than the sum of its proper divisors (12782344528).

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

6849433344 is a wasteful number, since it uses less digits than its factorization.

6849433344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686073 (or 686059 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 48.

The square root of 6849433344 is about 82761.3034213454. The cubic root of 6849433344 is about 1899.1162412578.

The spelling of 6849433344 in words is "six billion, eight hundred forty-nine million, four hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 9984 686041 1372082 2058123 2744164 4116246 5488328 8232492 8918533 10976656 16464984 17837066 21953312 26755599 32929968 35674132 43906624 53511198 65859936 71348264 87813248 107022396 131719872 142696528 175626496 214044792 263439744 285393056 428089584 526879488 570786112 856179168 1141572224 1712358336 2283144448 3424716672 6849433344