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11848081056 = 2537131913367
BaseRepresentation
bin10110000100011001…
…10101111010100000
31010120201020212201220
423002030311322200
5143231102043211
65235401255040
7566415012240
oct130214657240
933521225656
1011848081056
11502aa29729
122367a94480
13116a843366
14805793b20
15495262806
hex2c2335ea0

11848081056 has 96 divisors (see below), whose sum is σ = 35573852160. Its totient is φ = 3382346496.

The previous prime is 11848081043. The next prime is 11848081061. The reversal of 11848081056 is 65018084811.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 11848080999 and 11848081017.

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, 879685 + ... + 893051.

It is an arithmetic number, because the mean of its divisors is an integer number (370560960).

Almost surely, 211848081056 is an apocalyptic number.

11848081056 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 11848081056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17786926080).

11848081056 is an abundant number, since it is smaller than the sum of its proper divisors (23725771104).

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

11848081056 is a wasteful number, since it uses less digits than its factorization.

11848081056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14706 (or 14698 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 42.

The spelling of 11848081056 in words is "eleven billion, eight hundred forty-eight million, eighty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1319 2638 3957 5276 7914 9233 10552 13367 15828 18466 21104 26734 27699 31656 36932 40101 42208 53468 55398 63312 73864 80202 93569 106936 110796 126624 147728 160404 187138 213872 221592 280707 295456 320808 374276 427744 443184 561414 641616 748552 886368 1122828 1283232 1497104 2245656 2994208 4491312 8982624 17631073 35262146 52893219 70524292 105786438 123417511 141048584 211572876 246835022 282097168 370252533 423145752 493670044 564194336 740505066 846291504 987340088 1481010132 1692583008 1974680176 2962020264 3949360352 5924040528 11848081056