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6460341312 = 263137449547
BaseRepresentation
bin1100000010001000…
…01111110001000000
3121200020021100020110
412001010033301000
5101212321410222
62545015311320
7316043665215
oct60104176100
917606240213
106460341312
112815770057
12130367b540
137bc576789
14453dddb0c
1527c26a30c
hex18110fc40

6460341312 has 112 divisors (see below), whose sum is σ = 17287646400. Its totient is φ = 2129068032.

The previous prime is 6460341311. The next prime is 6460341313. The reversal of 6460341312 is 2131430646.

It is an interprime number because it is at equal distance from previous prime (6460341311) and next prime (6460341313).

It is a self number, because there is not a number n which added to its sum of digits gives 6460341312.

It is not an unprimeable number, because it can be changed into a prime (6460341311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11810223 + ... + 11810769.

Almost surely, 26460341312 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 6460341312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8643823200).

6460341312 is an abundant number, since it is smaller than the sum of its proper divisors (10827305088).

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

6460341312 is a wasteful number, since it uses less digits than its factorization.

6460341312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 6460341312 is about 80376.2484319839. The cubic root of 6460341312 is about 1862.4522816596.

Adding to 6460341312 its reverse (2131430646), we get a palindrome (8591771958).

The spelling of 6460341312 in words is "six billion, four hundred sixty million, three hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 137 192 274 411 449 547 548 822 898 1094 1096 1347 1641 1644 1796 2188 2192 2694 3282 3288 3592 4376 4384 5388 6564 6576 7184 8752 8768 10776 13128 13152 14368 17504 21552 26256 26304 28736 35008 43104 52512 61513 74939 86208 105024 123026 149878 184539 224817 245603 246052 299756 369078 449634 491206 492104 599512 736809 738156 899268 982412 984208 1199024 1473618 1476312 1798536 1964824 1968416 2398048 2947236 2952624 3597072 3929648 3936832 4796096 5894472 5905248 7194144 7859296 11788944 11810496 14388288 15718592 23577888 33647611 47155776 67295222 100942833 134590444 201885666 269180888 403771332 538361776 807542664 1076723552 1615085328 2153447104 3230170656 6460341312