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20017840068 = 2234178343787
BaseRepresentation
bin10010101001001001…
…111111111111000100
31220200002002122020000
4102221021333333010
5311444031340233
613110203441300
71306026555522
oct225111777704
956602078200
1020017840068
118542604586
123a67b26230
131b702b2ba5
14d7c80b312
157c25e1d13
hex4a927ffc4

20017840068 has 120 divisors (see below), whose sum is σ = 56077715232. Its totient is φ = 6204301056.

The previous prime is 20017840061. The next prime is 20017840069. The reversal of 20017840068 is 86004871002.

20017840068 is a `hidden beast` number, since 20 + 0 + 178 + 400 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20017840061) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 435271 + ... + 479057.

Almost surely, 220017840068 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 20017840068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28038857616).

20017840068 is an abundant number, since it is smaller than the sum of its proper divisors (36059875164).

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

20017840068 is a wasteful number, since it uses less digits than its factorization.

20017840068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43903 (or 43892 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 20017840068 in words is "twenty billion, seventeen million, eight hundred forty thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 83 102 108 153 162 166 204 249 306 324 332 459 498 612 747 918 996 1377 1411 1494 1836 2241 2754 2822 2988 4233 4482 5508 5644 6723 8466 8964 12699 13446 16932 25398 26892 38097 43787 50796 76194 87574 114291 131361 152388 175148 228582 262722 394083 457164 525444 744379 788166 1182249 1488758 1576332 2233137 2364498 2977516 3546747 3634321 4466274 4728996 6699411 7093494 7268642 8932548 10902963 13398822 14186988 14537284 20098233 21805926 26797644 32708889 40196466 43611852 60294699 61783457 65417778 80392932 98126667 120589398 123566914 130835556 185350371 196253334 241178796 247133828 294380001 370700742 392506668 556051113 588760002 741401484 1112102226 1177520004 1668153339 2224204452 3336306678 5004460017 6672613356 10008920034 20017840068