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21343855104 = 293411135961
BaseRepresentation
bin10011111000001100…
…010110001000000000
32001002111020011220000
4103320030112020000
5322203011330404
613445532520000
71353630526545
oct237014261000
961074204800
1021343855104
119063060280
124178020000
132021c29080
141066980bcc
1584dc20339
hex4f8316200

21343855104 has 800 divisors, whose sum is σ = 77359423680. Its totient is φ = 5772902400.

The previous prime is 21343855103. The next prime is 21343855129. The reversal of 21343855104 is 40155834312.

21343855104 is a `hidden beast` number, since 2 + 134 + 3 + 8 + 5 + 510 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21343855103) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 349899234 + ... + 349899294.

Almost surely, 221343855104 is an apocalyptic number.

21343855104 is a gapful number since it is divisible by the number (24) 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 21343855104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38679711840).

21343855104 is an abundant number, since it is smaller than the sum of its proper divisors (56015568576).

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

21343855104 is a wasteful number, since it uses less digits than its factorization.

21343855104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 21343855104 in words is "twenty-one billion, three hundred forty-three million, eight hundred fifty-five thousand, one hundred four".