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20338118368 = 251722395617
BaseRepresentation
bin10010111100001111…
…110000111011100000
31221111101202110110021
4102330033300323200
5313123024241433
613202044243224
71316666103511
oct227417607340
957441673407
1020338118368
118697379397
123b37240514
131bc1760989
14dad17ca08
157e07a922d
hex4bc3f0ee0

20338118368 has 72 divisors (see below), whose sum is σ = 44384345712. Its totient is φ = 9154658304.

The previous prime is 20338118321. The next prime is 20338118387. The reversal of 20338118368 is 86381183302.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164896 + ... + 260512.

It is an arithmetic number, because the mean of its divisors is an integer number (616449246).

Almost surely, 220338118368 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 20338118368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22192172856).

20338118368 is an abundant number, since it is smaller than the sum of its proper divisors (24046227344).

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

20338118368 is a wasteful number, since it uses less digits than its factorization.

20338118368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95684 (or 95659 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 20338118368 in words is "twenty billion, three hundred thirty-eight million, one hundred eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 17 23 32 34 46 68 92 136 184 272 289 368 391 544 578 736 782 1156 1564 2312 3128 4624 6256 6647 9248 12512 13294 26588 53176 95617 106352 191234 212704 382468 764936 1529872 1625489 2199191 3059744 3250978 4398382 6501956 8796764 13003912 17593528 26007824 27633313 35187056 37386247 52015648 55266626 70374112 74772494 110533252 149544988 221066504 299089976 442133008 598179952 635566199 884266016 1196359904 1271132398 2542264796 5084529592 10169059184 20338118368