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21094439112 = 2332372214009
BaseRepresentation
bin10011101001010100…
…111001100011001000
32000110002220112110200
4103221110321203020
5321200134022422
613405103012200
71344511526325
oct235124714310
960402815420
1021094439112
118a4529635a
12410859a060
131cb235c446
1410417b7b4c
15836da42ac
hex4e95398c8

21094439112 has 72 divisors (see below), whose sum is σ = 58716853650. Its totient is φ = 6841407744.

The previous prime is 21094439111. The next prime is 21094439123. The reversal of 21094439112 is 21193449012.

21094439112 is a `hidden beast` number, since 2 + 109 + 4 + 439 + 112 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 20407265316 + 687173796 = 142854^2 + 26214^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×210944391123 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21094439111) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8437 + ... + 205572.

Almost surely, 221094439112 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 21094439112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29358426825).

21094439112 is an abundant number, since it is smaller than the sum of its proper divisors (37622414538).

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

21094439112 is a wasteful number, since it uses less digits than its factorization.

21094439112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214095 (or 214051 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 21094439112 in words is "twenty-one billion, ninety-four million, four hundred thirty-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 1369 2664 2738 4107 5476 8214 10952 12321 16428 24642 32856 49284 98568 214009 428018 642027 856036 1284054 1712072 1926081 2568108 3852162 5136216 7704324 7918333 15408648 15836666 23754999 31673332 47509998 63346664 71264997 95019996 142529994 190039992 285059988 292978321 570119976 585956642 878934963 1171913284 1757869926 2343826568 2636804889 3515739852 5273609778 7031479704 10547219556 21094439112