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21484248267720 = 23357220107181717
BaseRepresentation
bin1001110001010001100001…
…11111000111101111001000
32211001212121012102201212110
410320220300333013233020
510303444220024031340
6113405421041342320
74345120462105500
oct470506077075710
984055535381773
1021484248267720
116933467065867
1224ab95b3379a0
13bcac571cb1a4
14543bb3900a00
15273cc442a680
hex138a30fc7bc8

21484248267720 has 192 divisors, whose sum is σ = 74979783362880. Its totient is φ = 4910414068224.

The previous prime is 21484248267707. The next prime is 21484248267749. The reversal of 21484248267720 is 2776284248412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118138302 + ... + 118320018.

It is an arithmetic number, because the mean of its divisors is an integer number (390519705015).

Almost surely, 221484248267720 is an apocalyptic number.

21484248267720 is a gapful number since it is divisible by the number (20) 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 21484248267720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37489891681440).

21484248267720 is an abundant number, since it is smaller than the sum of its proper divisors (53495535095160).

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

21484248267720 is a wasteful number, since it uses less digits than its factorization.

21484248267720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201852 (or 201841 counting only the distinct ones).

The product of its (nonzero) digits is 19267584, while the sum is 57.

The spelling of 21484248267720 in words is "twenty-one trillion, four hundred eighty-four billion, two hundred forty-eight million, two hundred sixty-seven thousand, seven hundred twenty".