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13618023168 = 283592711109
BaseRepresentation
bin11001010111011001…
…01000101100000000
31022011001201020212110
430223230220230000
5210342203220133
610131145255320
7661316200311
oct145354505400
938131636773
1013618023168
115859023402
122780794540
13139043ac99
14932884608
1554a82ec63
hex32bb28b00

13618023168 has 144 divisors (see below), whose sum is σ = 37027468800. Its totient is φ = 4441927680.

The previous prime is 13618023163. The next prime is 13618023191. The reversal of 13618023168 is 86132081631.

It is not an unprimeable number, because it can be changed into a prime (13618023161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12278998 + ... + 12280106.

It is an arithmetic number, because the mean of its divisors is an integer number (257135200).

Almost surely, 213618023168 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 13618023168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18513734400).

13618023168 is an abundant number, since it is smaller than the sum of its proper divisors (23409445632).

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

13618023168 is a wasteful number, since it uses less digits than its factorization.

13618023168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 13618023168 in words is "thirteen billion, six hundred eighteen million, twenty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 256 271 354 384 472 542 708 768 813 944 1084 1109 1416 1626 1888 2168 2218 2832 3252 3327 3776 4336 4436 5664 6504 6654 7552 8672 8872 11328 13008 13308 15104 15989 17344 17744 22656 26016 26616 31978 34688 35488 45312 47967 52032 53232 63956 65431 69376 70976 95934 104064 106464 127912 130862 141952 191868 196293 208128 212928 255824 261724 283904 300539 383736 392586 425856 511648 523448 601078 767472 785172 851712 901617 1023296 1046896 1202156 1534944 1570344 1803234 2046592 2093792 2404312 3069888 3140688 3606468 4093184 4187584 4808624 6139776 6281376 7212936 8375168 9617248 12279552 12562752 14425872 16750336 17731801 19234496 25125504 28851744 35463602 38468992 50251008 53195403 57703488 70927204 76937984 106390806 115406976 141854408 212781612 230813952 283708816 425563224 567417632 851126448 1134835264 1702252896 2269670528 3404505792 4539341056 6809011584 13618023168