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10373931468 = 223553349577
BaseRepresentation
bin10011010100101010…
…11010000111001100
3222202222101022200000
421222111122013030
5132221211301333
64433221204300
7515034651105
oct115225320714
928688338600
1010373931468
1144438a528a
122016260690
13c943023b4
14705a9d3ac
1540ab22713
hex26a55a1cc

10373931468 has 144 divisors (see below), whose sum is σ = 27834861600. Its totient is φ = 3377147904.

The previous prime is 10373931457. The next prime is 10373931497. The reversal of 10373931468 is 86413937301.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17978796 + ... + 17979372.

It is an arithmetic number, because the mean of its divisors is an integer number (193297650).

Almost surely, 210373931468 is an apocalyptic number.

10373931468 is a gapful number since it is divisible by the number (18) 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 10373931468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13917430800).

10373931468 is an abundant number, since it is smaller than the sum of its proper divisors (17460930132).

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

10373931468 is a wasteful number, since it uses less digits than its factorization.

10373931468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 10373931468 in words is "ten billion, three hundred seventy-three million, nine hundred thirty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 243 318 324 349 477 486 577 636 698 954 972 1047 1154 1396 1431 1731 1908 2094 2308 2862 3141 3462 4188 4293 5193 5724 6282 6924 8586 9423 10386 12564 12879 15579 17172 18497 18846 20772 25758 28269 30581 31158 36994 37692 46737 51516 55491 56538 61162 62316 73988 84807 91743 93474 110982 113076 122324 140211 166473 169614 183486 186948 201373 221964 275229 280422 332946 339228 366972 402746 499419 550458 560844 604119 665892 805492 825687 998838 1100916 1208238 1498257 1651374 1812357 1997676 2416476 2477061 2996514 3302748 3624714 4494771 4954122 5437071 5993028 7249428 7431183 8989542 9908244 10672769 10874142 14862366 16311213 17979084 21345538 21748284 29724732 32018307 32622426 42691076 48933639 64036614 65244852 96054921 97867278 128073228 192109842 195734556 288164763 384219684 576329526 864494289 1152659052 1728988578 2593482867 3457977156 5186965734 10373931468