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21923294008 = 23711223414773
BaseRepresentation
bin10100011010101110…
…101110101100111000
32002120212112201122011
4110122232232230320
5324344330402013
614023232135304
71404164632030
oct243256565470
962525481564
1021923294008
119330145300
1242ba097534
1320b4ca6025
1410bd8d48c0
15884a2ac3d
hex51abaeb38

21923294008 has 384 divisors, whose sum is σ = 57143439360. Its totient is φ = 7694438400.

The previous prime is 21923293901. The next prime is 21923294033. The reversal of 21923294008 is 80049232912.

It is a super-2 number, since 2×219232940082 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 300319060 + ... + 300319132.

It is an arithmetic number, because the mean of its divisors is an integer number (148811040).

Almost surely, 221923294008 is an apocalyptic number.

21923294008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21923294008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28571719680).

21923294008 is an abundant number, since it is smaller than the sum of its proper divisors (35220145352).

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

21923294008 is a wasteful number, since it uses less digits than its factorization.

21923294008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 21923294008 in words is "twenty-one billion, nine hundred twenty-three million, two hundred ninety-four thousand, eight".