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20169771768 = 233511239239
BaseRepresentation
bin10010110010001101…
…100100101011111000
31221001122222120100000
4102302031210223320
5312301430144033
613133232113000
71312553142216
oct226215445370
957048876300
1020169771768
118610346073
123aaa995760
131b9590a0c3
14d94a79cb6
157d0b03a13
hex4b2364af8

20169771768 has 96 divisors (see below), whose sum is σ = 56706249600. Its totient is φ = 6716543328.

The previous prime is 20169771751. The next prime is 20169771833. The reversal of 20169771768 is 86717796102.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2178493 + ... + 2187731.

It is an arithmetic number, because the mean of its divisors is an integer number (590690100).

Almost surely, 220169771768 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 20169771768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28353124800).

20169771768 is an abundant number, since it is smaller than the sum of its proper divisors (36536477832).

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

20169771768 is a wasteful number, since it uses less digits than its factorization.

20169771768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10383 (or 10367 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 20169771768 in words is "twenty billion, one hundred sixty-nine million, seven hundred seventy-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1123 1944 2246 3369 4492 6738 8984 9239 10107 13476 18478 20214 26952 27717 30321 36956 40428 55434 60642 73912 80856 83151 90963 110868 121284 166302 181926 221736 242568 249453 272889 332604 363852 498906 545778 665208 727704 748359 997812 1091556 1496718 1995624 2183112 2245077 2993436 4490154 5986872 8980308 10375397 17960616 20750794 31126191 41501588 62252382 83003176 93378573 124504764 186757146 249009528 280135719 373514292 560271438 747028584 840407157 1120542876 1680814314 2241085752 2521221471 3361628628 5042442942 6723257256 10084885884 20169771768