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28143091671552 = 293511131581829
BaseRepresentation
bin1100110011000100100101…
…11110110110001000000000
310200122110020110001222100000
412121202102332312020000
512142044022431442202
6135504431405200000
75633162022130134
oct631422276661000
9120573213058300
1028143091671552
118a70466617a70
1231a63a0560000
131291b6113a120
146d41c09953c4
1533c0ee16d91c
hex199892fb6200

28143091671552 has 480 divisors, whose sum is σ = 98956905727680. Its totient is φ = 7872188497920.

The previous prime is 28143091671511. The next prime is 28143091671619. The reversal of 28143091671552 is 25517619034182.

28143091671552 is a `hidden beast` number, since 2 + 8 + 1 + 4 + 3 + 0 + 9 + 16 + 71 + 552 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17000574 + ... + 18582402.

It is an arithmetic number, because the mean of its divisors is an integer number (206160220266).

It is a 1-persistent number, because it is pandigital, but 2⋅28143091671552 = 56286183343104 is not.

Almost surely, 228143091671552 is an apocalyptic number.

28143091671552 is a gapful number since it is divisible by the number (22) 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 28143091671552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49478452863840).

28143091671552 is an abundant number, since it is smaller than the sum of its proper divisors (70813814056128).

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

28143091671552 is a wasteful number, since it uses less digits than its factorization.

28143091671552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581886 (or 1581858 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 28143091671552 in words is "twenty-eight trillion, one hundred forty-three billion, ninety-one million, six hundred seventy-one thousand, five hundred fifty-two".