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11988118128 = 2437231164419
BaseRepresentation
bin10110010101000110…
…00010101001110000
31010221110202111111010
423022203002221300
5144022424240003
65301322550520
7603035215500
oct131243025160
933843674433
1011988118128
1150a1a86648
1223a6968440
13119086452c
1481a207a00
154a26c5003
hex2ca8c2a70

11988118128 has 120 divisors (see below), whose sum is σ = 37187857920. Its totient is φ = 3314666880.

The previous prime is 11988118117. The next prime is 11988118151. The reversal of 11988118128 is 82181188911.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9298 + ... + 155121.

It is an arithmetic number, because the mean of its divisors is an integer number (309898816).

Almost surely, 211988118128 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 11988118128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18593928960).

11988118128 is an abundant number, since it is smaller than the sum of its proper divisors (25199739792).

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

11988118128 is a wasteful number, since it uses less digits than its factorization.

11988118128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164475 (or 164462 counting only the distinct ones).

The product of its digits is 73728, while the sum is 48.

The spelling of 11988118128 in words is "eleven billion, nine hundred eighty-eight million, one hundred eighteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 49 56 62 84 93 98 112 124 147 168 186 196 217 248 294 336 372 392 434 496 588 651 744 784 868 1176 1302 1488 1519 1736 2352 2604 3038 3472 4557 5208 6076 9114 10416 12152 18228 24304 36456 72912 164419 328838 493257 657676 986514 1150933 1315352 1973028 2301866 2630704 3452799 3946056 4603732 5096989 6905598 7892112 8056531 9207464 10193978 13811196 15290967 16113062 18414928 20387956 24169593 27622392 30581934 32226124 35678923 40775912 48339186 55244784 61163868 64452248 71357846 81551824 96678372 107036769 122327736 128904496 142715692 193356744 214073538 244655472 249752461 285431384 386713488 428147076 499504922 570862768 749257383 856294152 999009844 1498514766 1712588304 1998019688 2997029532 3996039376 5994059064 11988118128