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21167072344 = 23118313920849
BaseRepresentation
bin10011101101101001…
…111110010001011000
32000122011120200112101
4103231221332101120
5321322232303334
613420215453144
71346353101115
oct235551762130
960564520471
1021167072344
118a82295820
1241289871b4
131cc44106a2
14104b2c390c
1583d450214
hex4eda7e458

21167072344 has 64 divisors (see below), whose sum is σ = 44135280000. Its totient is φ = 9436638720.

The previous prime is 21167072323. The next prime is 21167072411. The reversal of 21167072344 is 44327076112.

It is a super-2 number, since 2×211670723442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1004832 + ... + 1025680.

It is an arithmetic number, because the mean of its divisors is an integer number (689613750).

Almost surely, 221167072344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21167072344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22067640000).

21167072344 is an abundant number, since it is smaller than the sum of its proper divisors (22968207656).

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

21167072344 is a wasteful number, since it uses less digits than its factorization.

21167072344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21088 (or 21084 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The spelling of 21167072344 in words is "twenty-one billion, one hundred sixty-seven million, seventy-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 83 88 139 166 278 332 556 664 913 1112 1529 1826 3058 3652 6116 7304 11537 12232 20849 23074 41698 46148 83396 92296 126907 166792 229339 253814 458678 507628 917356 1015256 1730467 1834712 2898011 3460934 5796022 6921868 11592044 13843736 19035137 23184088 31878121 38070274 63756242 76140548 127512484 152281096 240534913 255024968 481069826 962139652 1924279304 2645884043 5291768086 10583536172 21167072344