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21323821054248 = 2332296164181309
BaseRepresentation
bin1001101100100110101101…
…10001110111100100101000
32210111112111202022220011100
410312103112301313210220
510243332141142213443
6113204010025401400
74330411110226116
oct466232661674450
983445452286140
1021323821054248
11688142208a919
122484848639260
13bb8a9b5b243b
1453a115380ab6
1526ea352013d3
hex1364d6c77928

21323821054248 has 24 divisors (see below), whose sum is σ = 57752015355450. Its totient is φ = 7107940351392.

The previous prime is 21323821054247. The next prime is 21323821054313. The reversal of 21323821054248 is 84245012832312.

21323821054248 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 3 + 8 + 210 + 5 + 424 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21301898698404 + 21922355844 = 4615398^2 + 148062^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (21323821054247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 148082090583 + ... + 148082090726.

Almost surely, 221323821054248 is an apocalyptic number.

It is an amenable number.

21323821054248 is an abundant number, since it is smaller than the sum of its proper divisors (36428194301202).

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

21323821054248 is a wasteful number, since it uses less digits than its factorization.

21323821054248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296164181321 (or 296164181314 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 21323821054248 in words is "twenty-one trillion, three hundred twenty-three billion, eight hundred twenty-one million, fifty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 296164181309 592328362618 888492543927 1184656725236 1776985087854 2369313450472 2665477631781 3553970175708 5330955263562 7107940351416 10661910527124 21323821054248