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6313130336 = 251728141299
BaseRepresentation
bin1011110000100101…
…01011100101100000
3121021222021020202002
411320102223211200
5100412130132321
62522240143132
7312305502542
oct57022534540
917258236662
106313130336
11274a663297
121282307aa8
13797c131a6
1443c63d692
1526e38c20b
hex1784ab960

6313130336 has 48 divisors (see below), whose sum is σ = 13207244400. Its totient is φ = 2960240640.

The previous prime is 6313130333. The next prime is 6313130347. The reversal of 6313130336 is 6330313136.

It is a super-2 number, since 2×63131303362 = 79711229278646945792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6313130299 and 6313130308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6313130333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132215 + ... + 173513.

It is an arithmetic number, because the mean of its divisors is an integer number (275150925).

Almost surely, 26313130336 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 6313130336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6603622200).

6313130336 is an abundant number, since it is smaller than the sum of its proper divisors (6894114064).

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

6313130336 is a wasteful number, since it uses less digits than its factorization.

6313130336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41607 (or 41599 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 29.

The square root of 6313130336 is about 79455.2096215220. The cubic root of 6313130336 is about 1848.1969611975.

The spelling of 6313130336 in words is "six billion, three hundred thirteen million, one hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 281 544 562 1124 2248 4496 4777 8992 9554 19108 38216 41299 76432 82598 152864 165196 330392 660784 702083 1321568 1404166 2808332 5616664 11233328 11605019 22466656 23210038 46420076 92840152 185680304 197285323 371360608 394570646 789141292 1578282584 3156565168 6313130336