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1313780353648 = 247231229236053
BaseRepresentation
bin10011000111100011011…
…010010100101001110000
311122121002121111221122121
4103013203122110221300
5133011110232304043
62443313052244024
7163626462515500
oct23074332245160
94577077457577
101313780353648
11467197839914
12192752470614
1396b73060859
1447831807a00
1524293b1cded
hex131e3694a70

1313780353648 has 120 divisors (see below), whose sum is σ = 3069910596480. Its totient is φ = 542504148480.

The previous prime is 1313780353631. The next prime is 1313780353673. The reversal of 1313780353648 is 8463530873131.

It is a junction number, because it is equal to n+sod(n) for n = 1313780353595 and 1313780353604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5447590 + ... + 5683642.

It is an arithmetic number, because the mean of its divisors is an integer number (25582588304).

Almost surely, 21313780353648 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 1313780353648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534955298240).

1313780353648 is an abundant number, since it is smaller than the sum of its proper divisors (1756130242832).

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

1313780353648 is a wasteful number, since it uses less digits than its factorization.

1313780353648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236335 (or 236322 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 1313780353648 in words is "one trillion, three hundred thirteen billion, seven hundred eighty million, three hundred fifty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 217 229 248 392 434 458 496 784 868 916 1519 1603 1736 1832 3038 3206 3472 3664 6076 6412 7099 11221 12152 12824 14198 22442 24304 25648 28396 44884 49693 56792 89768 99386 113584 179536 198772 236053 347851 397544 472106 695702 795088 944212 1391404 1652371 1888424 2782808 3304742 3776848 5565616 6609484 7317643 11566597 13218968 14635286 23133194 26437936 29270572 46266388 51223501 54056137 58541144 92532776 102447002 108112274 117082288 185065552 204894004 216224548 358564507 378392959 409788008 432449096 717129014 756785918 819576016 864898192 1434258028 1513571836 1675740247 2648750713 2868516056 3027143672 3351480494 5297501426 5737032112 6054287344 6702960988 10595002852 11730181729 13405921976 21190005704 23460363458 26811843952 42380011408 46920726916 82111272103 93841453832 164222544206 187682907664 328445088412 656890176824 1313780353648