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21384938106 = 2327433947017
BaseRepresentation
bin10011111010101001…
…000100001001111010
32001012100112102011200
4103322221010021322
5322244021004411
613454001235030
71354636655220
oct237251041172
961170472150
1021384938106
119084270574
124189932a76
13202a5b183c
14106c1d6b10
15852637e56
hex4faa4427a

21384938106 has 48 divisors (see below), whose sum is σ = 54184663104. Its totient is φ = 5967888192.

The previous prime is 21384938093. The next prime is 21384938123. The reversal of 21384938106 is 60183948312.

21384938106 is a `hidden beast` number, since 21 + 38 + 493 + 8 + 106 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1968091 + ... + 1978926.

It is an arithmetic number, because the mean of its divisors is an integer number (1128847148).

Almost surely, 221384938106 is an apocalyptic number.

21384938106 is an abundant number, since it is smaller than the sum of its proper divisors (32799724998).

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

21384938106 is a wasteful number, since it uses less digits than its factorization.

21384938106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947075 (or 3947072 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 21384938106 in words is "twenty-one billion, three hundred eighty-four million, nine hundred thirty-eight thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 258 301 387 602 774 903 1806 2709 5418 3947017 7894034 11841051 23682102 27629119 35523153 55258238 71046306 82887357 165774714 169721731 248662071 339443462 497324142 509165193 1018330386 1188052117 1527495579 2376104234 3054991158 3564156351 7128312702 10692469053 21384938106