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2059669821690 = 23451331107109541
BaseRepresentation
bin11101111110001101111…
…000110101100011111010
321021220100221010212020000
4131332031320311203322
5232221200433243230
64214111012213430
7301543352422545
oct35761570654372
97256327125200
102059669821690
11724556a12008
1229321730a276
1311c2c2788580
147198d55585c
153889b75eb60
hex1df8de358fa

2059669821690 has 640 divisors, whose sum is σ = 6282776586240. Its totient is φ = 480706099200.

The previous prime is 2059669821641. The next prime is 2059669821691. The reversal of 2059669821690 is 961289669502.

2059669821690 is a `hidden beast` number, since 20 + 596 + 6 + 9 + 8 + 2 + 16 + 9 + 0 = 666.

It is a super-2 number, since 2×20596698216902 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2059669821691) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3807152820 + ... + 3807153360.

It is an arithmetic number, because the mean of its divisors is an integer number (9816838416).

Almost surely, 22059669821690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2059669821690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141388293120).

2059669821690 is an abundant number, since it is smaller than the sum of its proper divisors (4223106764550).

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

2059669821690 is a wasteful number, since it uses less digits than its factorization.

2059669821690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 2059669821690 in words is "two trillion, fifty-nine billion, six hundred sixty-nine million, eight hundred twenty-one thousand, six hundred ninety".