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21693423713280 = 21035111723328373
BaseRepresentation
bin1001110111010111001001…
…10100000111110000000000
32211210212111222221100102220
410323223210310013300000
510320411112432311110
6114045453221211040
74366204156052604
oct473534464076000
984725458840386
1021693423713280
116a0414715a020
1225243b7860a80
13c148b1438497
1454dd78427504
15279468185370
hex13bae4d07c00

21693423713280 has 704 divisors, whose sum is σ = 83630143208448. Its totient is φ = 4734441226240.

The previous prime is 21693423713243. The next prime is 21693423713287. The reversal of 21693423713280 is 8231732439612.

It is a tau number, because it is divible by the number of its divisors (704).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21693423713287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65899174 + ... + 66227546.

Almost surely, 221693423713280 is an apocalyptic number.

21693423713280 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 21693423713280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41815071604224).

21693423713280 is an abundant number, since it is smaller than the sum of its proper divisors (61936719495168).

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

21693423713280 is a wasteful number, since it uses less digits than its factorization.

21693423713280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328452 (or 328434 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 21693423713280 in words is "twenty-one trillion, six hundred ninety-three billion, four hundred twenty-three million, seven hundred thirteen thousand, two hundred eighty".