Search a number
-
+
18226791435008 = 281329631848397
BaseRepresentation
bin1000010010011110000010…
…11011011100101100000000
32101112110112102201020211202
410021033001123130230000
54342111432101410013
6102433134500400332
73560561611634522
oct411170133345400
971473472636752
1018226791435008
115897a36659082
1220645836a60a8
13a22a18786770
14470277b1da12
152191c2415858
hex1093c16dcb00

18226791435008 has 72 divisors (see below), whose sum is σ = 39194274061488. Its totient is φ = 8409521590272.

The previous prime is 18226791435001. The next prime is 18226791435043. The reversal of 18226791435008 is 80053419762281.

It is not an unprimeable number, because it can be changed into a prime (18226791435001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8936666 + ... + 10785062.

It is a 1-persistent number, because it is pandigital, but 2⋅18226791435008 = 36453582870016 is not.

Almost surely, 218226791435008 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 18226791435008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19597137030744).

18226791435008 is an abundant number, since it is smaller than the sum of its proper divisors (20967482626480).

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

18226791435008 is a wasteful number, since it uses less digits than its factorization.

18226791435008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851389 (or 1851375 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 56.

The spelling of 18226791435008 in words is "eighteen trillion, two hundred twenty-six billion, seven hundred ninety-one million, four hundred thirty-five thousand, eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 2963 3328 5926 11852 23704 38519 47408 77038 94816 154076 189632 308152 379264 616304 758528 1232608 1848397 2465216 3696794 4930432 7393588 9860864 14787176 24029161 29574352 48058322 59148704 96116644 118297408 192233288 236594816 384466576 473189632 768933152 1537866304 3075732608 5476800311 6151465216 10953600622 21907201244 43814402488 71198404043 87628804976 142396808086 175257609952 284793616172 350515219904 569587232344 701030439808 1139174464688 1402060879616 2278348929376 4556697858752 9113395717504 18226791435008