Search a number
-
+
11892111830688 = 2531512413404033
BaseRepresentation
bin1010110100001101100100…
…0110011110111010100000
31120002212121201110020111210
42231003121012132322200
53024320021112040223
641143054420110120
72335114421501565
oct255033106367240
946085551406453
1011892111830688
113875464113411
121400930235340
1368356289374b
142d181d08486c
1515951b42a893
hexad0d919eea0

11892111830688 has 96 divisors (see below), whose sum is σ = 31553924637312. Its totient is φ = 3921444864000.

The previous prime is 11892111830623. The next prime is 11892111830701. The reversal of 11892111830688 is 88603811129811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1791520 + ... + 5195552.

It is an arithmetic number, because the mean of its divisors is an integer number (328686714972).

Almost surely, 211892111830688 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 11892111830688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15776962318656).

11892111830688 is an abundant number, since it is smaller than the sum of its proper divisors (19661812806624).

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

11892111830688 is a wasteful number, since it uses less digits than its factorization.

11892111830688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404438 (or 3404430 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 57.

The spelling of 11892111830688 in words is "eleven trillion, eight hundred ninety-two billion, one hundred eleven million, eight hundred thirty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 151 241 302 453 482 604 723 906 964 1208 1446 1812 1928 2416 2892 3624 3856 4832 5784 7248 7712 11568 14496 23136 36391 72782 109173 145564 218346 291128 436692 582256 873384 1164512 1746768 3404033 3493536 6808066 10212099 13616132 20424198 27232264 40848396 54464528 81696792 108929056 163393584 326787168 514008983 820371953 1028017966 1542026949 1640743906 2056035932 2461115859 3084053898 3281487812 4112071864 4922231718 6168107796 6562975624 8224143728 9844463436 12336215592 13125951248 16448287456 19688926872 24672431184 26251902496 39377853744 49344862368 78755707488 123876164903 247752329806 371628494709 495504659612 743256989418 991009319224 1486513978836 1982018638448 2973027957672 3964037276896 5946055915344 11892111830688