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21343098919680 = 2832517239455993
BaseRepresentation
bin1001101101001010100111…
…10101000101101100000000
32210120101021021000221000100
410312211103311011230000
510244141131310412210
6113220515001122400
74331662613332326
oct466452365055400
983511237027010
1021343098919680
116889614a2150a
122488528789400
13bba85149aac5
1453b0237a9d16
152702b28765c0
hex136953d45b00

21343098919680 has 432 divisors, whose sum is σ = 78516038240640. Its totient is φ = 5334274670592.

The previous prime is 21343098919657. The next prime is 21343098919717. The reversal of 21343098919680 is 8691989034312.

21343098919680 is a `hidden beast` number, since 2 + 1 + 3 + 430 + 9 + 8 + 9 + 196 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46577764 + ... + 47033756.

It is an arithmetic number, because the mean of its divisors is an integer number (181750088520).

Almost surely, 221343098919680 is an apocalyptic number.

21343098919680 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 21343098919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39258019120320).

21343098919680 is an abundant number, since it is smaller than the sum of its proper divisors (57172939320960).

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

21343098919680 is a wasteful number, since it uses less digits than its factorization.

21343098919680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456276 (or 456259 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 21343098919680 in words is "twenty-one trillion, three hundred forty-three billion, ninety-eight million, nine hundred nineteen thousand, six hundred eighty".