Search a number
-
+
6703314048 = 273214813929
BaseRepresentation
bin1100011111000110…
…00111010010000000
3122022011110122011200
412033203013102000
5102212022022143
63025055141200
7325054141434
oct61743072200
918264418150
106703314048
11292a934072
121370b14800
1382a9c8722
144783aa9c4
152937621d3
hex18f8c7480

6703314048 has 96 divisors (see below), whose sum is σ = 19307421900. Its totient is φ = 2232360960.

The previous prime is 6703314029. The next prime is 6703314053. The reversal of 6703314048 is 8404133076.

It can be written as a sum of positive squares in 2 ways, for example, as 6337433664 + 365880384 = 79608^2 + 19128^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×67033140482 = 89868838452228292608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1704148 + ... + 1708076.

Almost surely, 26703314048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6703314048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9653710950).

6703314048 is an abundant number, since it is smaller than the sum of its proper divisors (12604107852).

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

6703314048 is a wasteful number, since it uses less digits than its factorization.

6703314048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5430 (or 5415 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6703314048 is about 81873.7689861655. The cubic root of 6703314048 is about 1885.5144084093.

The spelling of 6703314048 in words is "six billion, seven hundred three million, three hundred fourteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1481 2962 3929 4443 5924 7858 8886 11787 11848 13329 15716 17772 23574 23696 26658 31432 35361 35544 47148 47392 53316 62864 70722 71088 94296 94784 106632 125728 141444 142176 188592 189568 213264 251456 282888 284352 377184 426528 502912 565776 568704 754368 853056 1131552 1508736 1706112 2263104 4526208 5818849 11637698 17456547 23275396 34913094 46550792 52369641 69826188 93101584 104739282 139652376 186203168 209478564 279304752 372406336 418957128 558609504 744812672 837914256 1117219008 1675828512 2234438016 3351657024 6703314048