Search a number
-
+
11841937703936 = 210127443205549
BaseRepresentation
bin1010110001010010101001…
…1111011000010000000000
31112221002002222222111212222
42230110222133120100000
53023004242023011221
641104035554310212
72331360153451634
oct254245237302000
945832088874788
1011841937703936
11385615712a35a
1213b3068b88368
1367b8c7a28252
142cd21d588dc4
1515808163c9ab
hexac52a7d8400

11841937703936 has 88 divisors (see below), whose sum is σ = 23912680627200. Its totient is φ = 5861058158592.

The previous prime is 11841937703879. The next prime is 11841937704017. The reversal of 11841937703936 is 63930773914811.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57508490 + ... + 57714038.

Almost surely, 211841937703936 is an apocalyptic number.

11841937703936 is a gapful number since it is divisible by the number (16) 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 11841937703936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11956340313600).

11841937703936 is an abundant number, since it is smaller than the sum of its proper divisors (12070742923264).

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

11841937703936 is a wasteful number, since it uses less digits than its factorization.

11841937703936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206139 (or 206121 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 62.

The spelling of 11841937703936 in words is "eleven trillion, eight hundred forty-one billion, nine hundred thirty-seven million, seven hundred three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 443 508 512 886 1016 1024 1772 2032 3544 4064 7088 8128 14176 16256 28352 32512 56261 56704 65024 112522 113408 130048 205549 225044 226816 411098 450088 453632 822196 900176 1644392 1800352 3288784 3600704 6577568 7201408 13155136 14402816 26104723 26310272 28805632 52209446 52620544 57611264 91058207 104418892 105241088 182116414 208837784 210482176 364232828 417675568 728465656 835351136 1456931312 1670702272 2913862624 3341404544 5827725248 6682809088 11564392289 11655450496 13365618176 23128784578 23310900992 26731236352 46257569156 46621801984 92515138312 93243603968 185030276624 370060553248 740121106496 1480242212992 2960484425984 5920968851968 11841937703936