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11428357415328 = 253471151547237
BaseRepresentation
bin1010011001001101111100…
…1011110010000110100000
31111110112120212201000010000
42212103133023302012200
52444220233444242303
640150040453340000
72256446231141520
oct246233713620640
944415525630100
1011428357415328
113706814908147
121346a85937600
1364b8c6a31599
142b71c7965680
1514c4278b9da3
hexa64df2f21a0

11428357415328 has 240 divisors, whose sum is σ = 38445422045184. Its totient is φ = 3262402137600.

The previous prime is 11428357415281. The next prime is 11428357415339. The reversal of 11428357415328 is 82351475382411.

11428357415328 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 8 + 35 + 74 + 1 + 532 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20610126 + ... + 21157362.

Almost surely, 211428357415328 is an apocalyptic number.

11428357415328 is a gapful number since it is divisible by the number (18) 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 11428357415328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19222711022592).

11428357415328 is an abundant number, since it is smaller than the sum of its proper divisors (27017064629856).

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

11428357415328 is a wasteful number, since it uses less digits than its factorization.

11428357415328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548417 (or 548400 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 11428357415328 in words is "eleven trillion, four hundred twenty-eight billion, three hundred fifty-seven million, four hundred fifteen thousand, three hundred twenty-eight".