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21282384096 = 253324632389
BaseRepresentation
bin10011110100100001…
…110110100011100000
32000221012120010112000
4103310201312203200
5322041242242341
613435455204000
71352253165021
oct236441664340
960835503460
1021282384096
119031395196
12415b516600
1320122856ac
14105c73cc48
1584862b8b6
hex4f48768e0

21282384096 has 48 divisors (see below), whose sum is σ = 62073622800. Its totient is φ = 7094127744.

The previous prime is 21282384049. The next prime is 21282384131. The reversal of 21282384096 is 69048328212.

21282384096 is a `hidden beast` number, since 2 + 1 + 2 + 8 + 238 + 409 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12315331 + ... + 12317058.

It is an arithmetic number, because the mean of its divisors is an integer number (1293200475).

Almost surely, 221282384096 is an apocalyptic number.

It is an amenable number.

21282384096 is an abundant number, since it is smaller than the sum of its proper divisors (40791238704).

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

21282384096 is a wasteful number, since it uses less digits than its factorization.

21282384096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24632408 (or 24632394 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 21282384096 in words is "twenty-one billion, two hundred eighty-two million, three hundred eighty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 24632389 49264778 73897167 98529556 147794334 197059112 221691501 295588668 394118224 443383002 591177336 665074503 788236448 886766004 1182354672 1330149006 1773532008 2364709344 2660298012 3547064016 5320596024 7094128032 10641192048 21282384096