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11919823056 = 2433181152443
BaseRepresentation
bin10110001100111101…
…00001000011010000
31010202201020202021000
423012132201003100
5143402433314211
65250443102000
7601245552501
oct130636410320
933681222230
1011919823056
11506747a539
122387b11900
13117c671a4b
1481110aba8
1549b6d4656
hex2c67a10d0

11919823056 has 80 divisors (see below), whose sum is σ = 34403561920. Its totient is φ = 3951296640.

The previous prime is 11919823007. The next prime is 11919823063. The reversal of 11919823056 is 65032891911.

It is a congruent number.

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, 1971 + ... + 154413.

It is an arithmetic number, because the mean of its divisors is an integer number (430044524).

Almost surely, 211919823056 is an apocalyptic number.

11919823056 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 11919823056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17201780960).

11919823056 is an abundant number, since it is smaller than the sum of its proper divisors (22483738864).

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

11919823056 is a wasteful number, since it uses less digits than its factorization.

11919823056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152641 (or 152629 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 11919823056 in words is "eleven billion, nine hundred nineteen million, eight hundred twenty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 181 216 362 432 543 724 1086 1448 1629 2172 2896 3258 4344 4887 6516 8688 9774 13032 19548 26064 39096 78192 152443 304886 457329 609772 914658 1219544 1371987 1829316 2439088 2743974 3658632 4115961 5487948 7317264 8231922 10975896 16463844 21951792 27592183 32927688 55184366 65855376 82776549 110368732 165553098 220737464 248329647 331106196 441474928 496659294 662212392 744988941 993318588 1324424784 1489977882 1986637176 2979955764 3973274352 5959911528 11919823056