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20172310416 = 2433331141073
BaseRepresentation
bin10010110010010111…
…010000011110010000
31221001211202112201000
4102302113100132100
5312303102413131
613133402342000
71312613544426
oct226227203620
957054675630
1020172310416
11861181a425
123aab7ba900
131b962b876b
14d9513b116
157d0e55ce6
hex4b25d0790

20172310416 has 80 divisors (see below), whose sum is σ = 58077344320. Its totient is φ = 6703741440.

The previous prime is 20172310363. The next prime is 20172310427. The reversal of 20172310416 is 61401327102.

20172310416 is a `hidden beast` number, since 2 + 0 + 17 + 231 + 0 + 416 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20172310416.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72456 + ... + 213528.

It is an arithmetic number, because the mean of its divisors is an integer number (725966804).

Almost surely, 220172310416 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 20172310416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29038672160).

20172310416 is an abundant number, since it is smaller than the sum of its proper divisors (37905033904).

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

20172310416 is a wasteful number, since it uses less digits than its factorization.

20172310416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141421 (or 141409 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 20172310416 its reverse (61401327102), we get a palindrome (81573637518).

The spelling of 20172310416 in words is "twenty billion, one hundred seventy-two million, three hundred ten thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 331 432 662 993 1324 1986 2648 2979 3972 5296 5958 7944 8937 11916 15888 17874 23832 35748 47664 71496 141073 142992 282146 423219 564292 846438 1128584 1269657 1692876 2257168 2539314 3385752 3808971 5078628 6771504 7617942 10157256 15235884 20314512 30471768 46695163 60943536 93390326 140085489 186780652 280170978 373561304 420256467 560341956 747122608 840512934 1120683912 1260769401 1681025868 2241367824 2521538802 3362051736 5043077604 6724103472 10086155208 20172310416