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128191042812 = 22374779411011
BaseRepresentation
bin111011101100011001…
…0000001010011111100
3110020212212001200212110
41313120302001103330
54100013401332222
6134520134534020
712155456612460
oct1673062012374
9406785050773
10128191042812
114a402557898
1220a16b07310
13c11c199771
1462c11404a0
15350413b30c
hex1dd8c814fc

128191042812 has 96 divisors (see below), whose sum is σ = 353536081920. Its totient is φ = 35392893120.

The previous prime is 128191042789. The next prime is 128191042831. The reversal of 128191042812 is 218240191821.

128191042812 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106387 + ... + 517397.

It is an arithmetic number, because the mean of its divisors is an integer number (3682667520).

Almost surely, 2128191042812 is an apocalyptic number.

128191042812 is a gapful number since it is divisible by the number (12) 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 128191042812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176768040960).

128191042812 is an abundant number, since it is smaller than the sum of its proper divisors (225345039108).

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

128191042812 is a wasteful number, since it uses less digits than its factorization.

128191042812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411151 (or 411149 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The spelling of 128191042812 in words is "one hundred twenty-eight billion, one hundred ninety-one million, forty-two thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 79 84 94 141 158 188 237 282 316 329 474 553 564 658 948 987 1106 1316 1659 1974 2212 3318 3713 3948 6636 7426 11139 14852 22278 25991 44556 51982 77973 103964 155946 311892 411011 822022 1233033 1644044 2466066 2877077 4932132 5754154 8631231 11508308 17262462 19317517 32469869 34524924 38635034 57952551 64939738 77270068 97409607 115905102 129879476 135222619 194819214 227289083 231810204 270445238 389638428 405667857 454578166 540890476 681867249 811335714 909156332 1363734498 1526083843 1622671428 2727468996 3052167686 4578251529 6104335372 9156503058 10682586901 18313006116 21365173802 32047760703 42730347604 64095521406 128191042812