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21093143040 = 293351729619
BaseRepresentation
bin10011101001001111…
…111101001000000000
32000110000110200121000
4103221033331020000
5321144321034130
613405015132000
71344464520564
oct235117751000
960400420530
1021093143040
118a44590622
124108074000
131cb1cc7538
14104155b6a4
15836bea260
hex4e93fd200

21093143040 has 640 divisors, whose sum is σ = 82200096000. Its totient is φ = 5103157248.

The previous prime is 21093143003. The next prime is 21093143053. The reversal of 21093143040 is 4034139012.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21093142995 and 21093143013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34075851 + ... + 34076469.

It is an arithmetic number, because the mean of its divisors is an integer number (128437650).

Almost surely, 221093143040 is an apocalyptic number.

21093143040 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 21093143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41100048000).

21093143040 is an abundant number, since it is smaller than the sum of its proper divisors (61106952960).

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

21093143040 is a wasteful number, since it uses less digits than its factorization.

21093143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 21093143040 in words is "twenty-one billion, ninety-three million, one hundred forty-three thousand, forty".