Search a number
-
+
21393186309488 = 24716337912132549
BaseRepresentation
bin1001101110100111111010…
…10001010100010101110000
32210202011112221021221220202
410313103331101110111300
510301001221143400423
6113255521043454332
74335415046200010
oct467237521242560
983664487257822
1021393186309488
1168a8887a52844
1224961869873a8
13bc24a4387676
1453d615967c40
15271744c2e728
hex1374fd454570

21393186309488 has 160 divisors (see below), whose sum is σ = 47845157952000. Its totient is φ = 9077162185728.

The previous prime is 21393186309449. The next prime is 21393186309503. The reversal of 21393186309488 is 88490368139312.

It is a hoax number, since the sum of its digits (65) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8392774838 + ... + 8392777386.

It is an arithmetic number, because the mean of its divisors is an integer number (299032237200).

Almost surely, 221393186309488 is an apocalyptic number.

21393186309488 is a gapful number since it is divisible by the number (28) 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 21393186309488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23922578976000).

21393186309488 is an abundant number, since it is smaller than the sum of its proper divisors (26451971642512).

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

21393186309488 is a wasteful number, since it uses less digits than its factorization.

21393186309488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4319 (or 4313 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 65.

The spelling of 21393186309488 in words is "twenty-one trillion, three hundred ninety-three billion, one hundred eighty-six million, three hundred nine thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 163 326 379 652 758 1141 1213 1304 1516 2282 2426 2549 2608 2653 3032 4564 4852 5098 5306 6064 8491 9128 9704 10196 10612 16982 17843 18256 19408 20392 21224 33964 35686 40784 42448 61777 67928 71372 123554 135856 142744 197719 247108 285488 395438 415487 432439 459727 494216 790876 830974 864878 919454 966071 988432 1384033 1581752 1661948 1729756 1838908 1932142 2768066 2908409 3091937 3163504 3218089 3323896 3459512 3677816 3864284 5536132 5816818 6183874 6436178 6647792 6762497 6919024 7355632 7728568 11072264 11633636 12367748 12872356 13524994 15457136 21643559 22144528 23267272 24735496 25744712 27049988 43287118 46534544 49470992 51489424 54099976 74935501 86574236 108199952 149871002 157469573 173148472 299742004 314939146 346296944 503985731 524548507 599484008 629878292 1007971462 1049097014 1102287011 1171844123 1198968016 1259756584 2015942924 2098194028 2204574022 2343688246 2519513168 3527900117 4031885848 4196388056 4409148044 4687376492 7055800234 8063771696 8202908861 8392776112 8818296088 9374752984 14111600468 16405817722 17636592176 18749505968 28223200936 32811635444 56446401872 65623270888 131246541776 191010592049 382021184098 764042368196 1337074144343 1528084736392 2674148288686 3056169472784 5348296577372 10696593154744 21393186309488