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13315247360 = 28528433659
BaseRepresentation
bin11000110011010011…
…01000110100000000
31021100221222122112122
430121221220310000
5204232200403420
610041131543412
7650651510102
oct143151506400
937327878478
1013315247360
115713123468
1226b72bab68
1313427aa8bc
1490458b572
1552de73725
hex319a68d00

13315247360 has 72 divisors (see below), whose sum is σ = 31914116640. Its totient is φ = 5322770432.

The previous prime is 13315247359. The next prime is 13315247383. The reversal of 13315247360 is 6374251331.

It is a self number, because there is not a number n which added to its sum of digits gives 13315247360.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3637211 + ... + 3640869.

It is an arithmetic number, because the mean of its divisors is an integer number (443251620).

Almost surely, 213315247360 is an apocalyptic number.

13315247360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13315247360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15957058320).

13315247360 is an abundant number, since it is smaller than the sum of its proper divisors (18598869280).

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

13315247360 is an equidigital number, since it uses as much as digits as its factorization.

13315247360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6523 (or 6509 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

Adding to 13315247360 its reverse (6374251331), we get a palindrome (19689498691).

The spelling of 13315247360 in words is "thirteen billion, three hundred fifteen million, two hundred forty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 2843 3659 5686 7318 11372 14215 14636 18295 22744 28430 29272 36590 45488 56860 58544 73180 90976 113720 117088 146360 181952 227440 234176 292720 363904 454880 468352 585440 727808 909760 936704 1170880 1819520 2341760 3639040 4683520 10402537 20805074 41610148 52012685 83220296 104025370 166440592 208050740 332881184 416101480 665762368 832202960 1331524736 1664405920 2663049472 3328811840 6657623680 13315247360