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21843419136 = 213372111797
BaseRepresentation
bin10100010101111110…
…000010000000000000
32002101022020122220120
4110111332002000000
5324213403403021
614011300140240
71402204666500
oct242576020000
962338218816
1021843419136
11929a04a110
124297397680
1320a158a8a6
1410b3061a00
1587c9ee2c6
hex515f82000

21843419136 has 672 divisors, whose sum is σ = 79069338432. Its totient is φ = 5284823040.

The previous prime is 21843419111. The next prime is 21843419149. The reversal of 21843419136 is 63191434812.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 225189840 + ... + 225189936.

It is an arithmetic number, because the mean of its divisors is an integer number (117662706).

Almost surely, 221843419136 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 21843419136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39534669216).

21843419136 is an abundant number, since it is smaller than the sum of its proper divisors (57225919296).

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

21843419136 is a wasteful number, since it uses less digits than its factorization.

21843419136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 137 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The spelling of 21843419136 in words is "twenty-one billion, eight hundred forty-three million, four hundred nineteen thousand, one hundred thirty-six".