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21826050048 = 2113711443
BaseRepresentation
bin10100010100111011…
…110001100000000000
32002100002120020000000
4110110323301200000
5324144432100143
614005440000000
71401604235655
oct242473614000
962302506000
1021826050048
1192902664a0
124291600000
13209aab8b1a
1410b0a1dc2c
1587b21cbd3
hex514ef1800

21826050048 has 384 divisors, whose sum is σ = 71563564800. Its totient is φ = 6599024640.

The previous prime is 21826050041. The next prime is 21826050053. The reversal of 21826050048 is 84005062812.

21826050048 is a `hidden beast` number, since 2 + 1 + 8 + 2 + 605 + 0 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 21826049994 and 21826050021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21826050041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49268515 + ... + 49268957.

It is an arithmetic number, because the mean of its divisors is an integer number (186363450).

Almost surely, 221826050048 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 21826050048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35781782400).

21826050048 is an abundant number, since it is smaller than the sum of its proper divisors (49737514752).

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

21826050048 is an frugal number, since it uses more digits than its factorization.

21826050048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 21826050048 in words is "twenty-one billion, eight hundred twenty-six million, fifty thousand, forty-eight".