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21263440032 = 253324610463
BaseRepresentation
bin10011110011011001…
…100101100010100000
32000212212220200011000
4103303121211202200
5322021420040112
613433541152000
71351633154352
oct236331454240
960785820130
1021263440032
11902172623a
1241550bb600
13200b381aa3
14105a00b0d2
15846b387dc
hex4f36658a0

21263440032 has 48 divisors (see below), whose sum is σ = 62018369280. Its totient is φ = 7087813056.

The previous prime is 21263440031. The next prime is 21263440043. The reversal of 21263440032 is 23004436212.

21263440032 is a `hidden beast` number, since 21 + 2 + 634 + 4 + 0 + 0 + 3 + 2 = 666.

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

It is a super-2 number, since 2×212634400322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21263439978 and 21263440005.

It is not an unprimeable number, because it can be changed into a prime (21263440031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12304368 + ... + 12306095.

It is an arithmetic number, because the mean of its divisors is an integer number (1292049360).

Almost surely, 221263440032 is an apocalyptic number.

It is an amenable number.

21263440032 is an abundant number, since it is smaller than the sum of its proper divisors (40754929248).

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

21263440032 is a wasteful number, since it uses less digits than its factorization.

21263440032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24610482 (or 24610468 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 21263440032 its reverse (23004436212), we get a palindrome (44267876244).

The spelling of 21263440032 in words is "twenty-one billion, two hundred sixty-three million, four hundred forty thousand, thirty-two".

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 24610463 49220926 73831389 98441852 147662778 196883704 221494167 295325556 393767408 442988334 590651112 664482501 787534816 885976668 1181302224 1328965002 1771953336 2362604448 2657930004 3543906672 5315860008 7087813344 10631720016 21263440032