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13319292280 = 2357257271683
BaseRepresentation
bin11000110011110010…
…00100010101111000
31021101020121011010111
430121321010111320
5204234214323110
610041354354104
7651031054630
oct143171042570
937336534114
1013319292280
115715436478
1226b872b934
131343595a48
14904d216c0
1552e4c1e8a
hex319e44578

13319292280 has 128 divisors (see below), whose sum is σ = 34560276480. Its totient is φ = 4525424640.

The previous prime is 13319292263. The next prime is 13319292299. The reversal of 13319292280 is 8229291331.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19500819 + ... + 19501501.

It is an arithmetic number, because the mean of its divisors is an integer number (270002160).

Almost surely, 213319292280 is an apocalyptic number.

13319292280 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 13319292280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17280138240).

13319292280 is an abundant number, since it is smaller than the sum of its proper divisors (21240984200).

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

13319292280 is a wasteful number, since it uses less digits than its factorization.

13319292280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 13319292280 in words is "thirteen billion, three hundred nineteen million, two hundred ninety-two thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 257 271 280 514 542 683 1028 1084 1285 1355 1366 1799 1897 2056 2168 2570 2710 2732 3415 3598 3794 4781 5140 5420 5464 6830 7196 7588 8995 9485 9562 10280 10840 13660 14392 15176 17990 18970 19124 23905 27320 35980 37940 38248 47810 69647 71960 75880 95620 139294 175531 185093 191240 278588 348235 351062 370186 487529 557176 696470 702124 740372 877655 925465 975058 1228717 1295651 1392940 1404248 1480744 1755310 1850930 1950116 2437645 2457434 2591302 2785880 3510620 3701860 3900232 4875290 4914868 5182604 6143585 6478255 7021240 7403720 9750580 9829736 10365208 12287170 12956510 19501160 24574340 25913020 47568901 49148680 51826040 95137802 190275604 237844505 332982307 380551208 475689010 665964614 951378020 1331929228 1664911535 1902756040 2663858456 3329823070 6659646140 13319292280