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21143634112 = 2619101172157
BaseRepresentation
bin10011101100010000…
…100100000011000000
32000120112110220022201
4103230100210003000
5321300232242422
613414021242544
71345646632066
oct235420440300
960515426281
1021143634112
118a70037287
124120b63454
131cbc5c5303
141048142036
1583b370727
hex4ec4240c0

21143634112 has 56 divisors (see below), whose sum is σ = 44602694640. Its totient is φ = 9916185600.

The previous prime is 21143634089. The next prime is 21143634121.

21143634112 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36738 + ... + 208894.

It is an arithmetic number, because the mean of its divisors is an integer number (796476690).

Almost surely, 221143634112 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 21143634112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22301347320).

21143634112 is an abundant number, since it is smaller than the sum of its proper divisors (23459060528).

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

21143634112 is a wasteful number, since it uses less digits than its factorization.

21143634112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172289 (or 172279 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The spelling of 21143634112 in words is "twenty-one billion, one hundred forty-three million, six hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 101 152 202 304 404 608 808 1216 1616 1919 3232 3838 6464 7676 15352 30704 61408 122816 172157 344314 688628 1377256 2754512 3270983 5509024 6541966 11018048 13083932 17387857 26167864 34775714 52335728 69551428 104671456 139102856 209342912 278205712 330369283 556411424 660738566 1112822848 1321477132 2642954264 5285908528 10571817056 21143634112