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20013960595776 = 2637219726094139
BaseRepresentation
bin1001000110011110111010…
…00000110000100101000000
32121212022112022210020210120
410203033131000300211000
510110402042403031101
6110322141522100240
74133650413103200
oct443173500604500
977768468706716
1020013960595776
116416966aa22a4
1222b2a0aaaa680
13b224016a72b4
144d29763d8400
1524a9207d3b36
hex1233dd030940

20013960595776 has 336 divisors, whose sum is σ = 61950470155200. Its totient is φ = 5685693038592.

The previous prime is 20013960595771. The next prime is 20013960595789. The reversal of 20013960595776 is 67759506931002.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20013960595771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4835455915 + ... + 4835460053.

Almost surely, 220013960595776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20013960595776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30975235077600).

20013960595776 is an abundant number, since it is smaller than the sum of its proper divisors (41936509559424).

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

20013960595776 is a wasteful number, since it uses less digits than its factorization.

20013960595776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6974 (or 6957 counting only the distinct ones).

The product of its (nonzero) digits is 21432600, while the sum is 60.

The spelling of 20013960595776 in words is "twenty trillion, thirteen billion, nine hundred sixty million, five hundred ninety-five thousand, seven hundred seventy-six".