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116256303104 = 211191439677
BaseRepresentation
bin110110001000101101…
…0100110100000000000
3102010002002202002210212
41230101122212200000
53401043103144404
6125224000013252
711253640162124
oct1542132464000
9363062662725
10116256303104
114533871a247
121a646001228
13ac697042c6
1458ac06d584
1530564ac06e
hex1b116a6800

116256303104 has 96 divisors (see below), whose sum is σ = 234551116800. Its totient is φ = 57606881280.

The previous prime is 116256303103. The next prime is 116256303127. The reversal of 116256303104 is 401303652611.

It is a super-2 number, since 2×1162563031042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (116256303103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171722414 + ... + 171723090.

It is an arithmetic number, because the mean of its divisors is an integer number (2443240800).

Almost surely, 2116256303104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116256303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117275558400).

116256303104 is an abundant number, since it is smaller than the sum of its proper divisors (118294813696).

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

116256303104 is an equidigital number, since it uses as much as digits as its factorization.

116256303104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

Adding to 116256303104 its reverse (401303652611), we get a palindrome (517559955715).

The spelling of 116256303104 in words is "one hundred sixteen billion, two hundred fifty-six million, three hundred three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 191 256 382 439 512 677 764 878 1024 1354 1528 1756 2048 2708 3056 3512 5416 6112 7024 10832 12224 14048 21664 24448 28096 43328 48896 56192 83849 86656 97792 112384 129307 167698 173312 195584 224768 258614 297203 335396 346624 391168 449536 517228 594406 670792 693248 899072 1034456 1188812 1341584 1386496 2068912 2377624 2683168 4137824 4755248 5366336 8275648 9510496 10732672 16551296 19020992 21465344 33102592 38041984 42930688 56765773 66205184 76083968 85861376 113531546 132410368 152167936 171722752 227063092 264820736 304335872 454126184 608671744 908252368 1816504736 3633009472 7266018944 14532037888 29064075776 58128151552 116256303104