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1382273310460 = 2257131108769337
BaseRepresentation
bin10100000111010101111…
…010001101111011111100
311220010220000002122220211
4110013111322031323330
5140121343431413320
62535001350122204
7201603010164310
oct24072572157374
94803800078824
101382273310460
11493245280049
121a3a88650364
13a046a1bb173
144ac8c205b40
1525e51c9255a
hex141d5e8defc

1382273310460 has 96 divisors (see below), whose sum is σ = 3345903525888. Its totient is φ = 469865111040.

The previous prime is 1382273310389. The next prime is 1382273310497. The reversal of 1382273310460 is 640133722831.

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, 19900912 + ... + 19970248.

It is an arithmetic number, because the mean of its divisors is an integer number (34853161728).

Almost surely, 21382273310460 is an apocalyptic number.

1382273310460 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 1382273310460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672951762944).

1382273310460 is an abundant number, since it is smaller than the sum of its proper divisors (1963630215428).

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

1382273310460 is a wasteful number, since it uses less digits than its factorization.

1382273310460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70571 (or 70569 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 1382273310460 in words is "one trillion, three hundred eighty-two billion, two hundred seventy-three million, three hundred ten thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 131 140 262 524 655 917 1087 1310 1834 2174 2620 3668 4348 4585 5435 7609 9170 10870 15218 18340 21740 30436 38045 69337 76090 138674 142397 152180 277348 284794 346685 485359 569588 693370 711985 970718 996779 1386740 1423970 1941436 1993558 2426795 2847940 3987116 4853590 4983895 9083147 9707180 9967790 18166294 19935580 36332588 45415735 63582029 75369319 90831470 127164058 150738638 181662940 254328116 301477276 317910145 376846595 527585233 635820290 753693190 1055170466 1271640580 1507386380 2110340932 2637926165 5275852330 9873380789 10551704660 19746761578 39493523156 49366903945 69113665523 98733807890 138227331046 197467615780 276454662092 345568327615 691136655230 1382273310460