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11428121233248 = 253684117401393
BaseRepresentation
bin1010011001001101000100…
…0110110100011101100000
31111110111222102021201012120
42212103101012310131200
52444214243013430443
640150001215224240
72256440332500156
oct246232106643540
944414872251176
1011428121233248
113706703562045
121346a1a818080
1364b889b19485
142b71a44453d6
1514c411cb5083
hexa64d11b4760

11428121233248 has 48 divisors (see below), whose sum is σ = 30003205112496. Its totient is φ = 3808816680960.

The previous prime is 11428121233241. The next prime is 11428121233253. The reversal of 11428121233248 is 84233212182411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11428121233241) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8043961 + ... + 9357432.

It is an arithmetic number, because the mean of its divisors is an integer number (625066773177).

Almost surely, 211428121233248 is an apocalyptic number.

It is an amenable number.

11428121233248 is an abundant number, since it is smaller than the sum of its proper divisors (18575083879248).

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

11428121233248 is a wasteful number, since it uses less digits than its factorization.

11428121233248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17408247 (or 17408239 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The spelling of 11428121233248 in words is "eleven trillion, four hundred twenty-eight billion, one hundred twenty-one million, two hundred thirty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 6841 13682 20523 27364 41046 54728 82092 109456 164184 218912 328368 656736 17401393 34802786 52204179 69605572 104408358 139211144 208816716 278422288 417633432 556844576 835266864 1670533728 119042929513 238085859026 357128788539 476171718052 714257577078 952343436104 1428515154156 1904686872208 2857030308312 3809373744416 5714060616624 11428121233248