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21848442000 = 24353711192131
BaseRepresentation
bin10100010110010001…
…001100010010010000
32002101122200211222120
4110112101030102100
5324221200121000
614011555534240
71402265456430
oct242621142220
962348624876
1021848442000
1192a196a940
124298bba380
1320a2628bb8
1410b39ac2c0
1587d1926a0
hex51644c490

21848442000 has 960 divisors, whose sum is σ = 93393451008. Its totient is φ = 4268160000.

The previous prime is 21848441969. The next prime is 21848442017. The reversal of 21848442000 is 24484812.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 166781935 + ... + 166782065.

Almost surely, 221848442000 is an apocalyptic number.

21848442000 is a gapful number since it is divisible by the number (20) 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 21848442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46696725504).

21848442000 is an abundant number, since it is smaller than the sum of its proper divisors (71545009008).

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

21848442000 is a wasteful number, since it uses less digits than its factorization.

21848442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The spelling of 21848442000 in words is "twenty-one billion, eight hundred forty-eight million, four hundred forty-two thousand".