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18427921848 = 2334731113063
BaseRepresentation
bin10001001010011000…
…111100010110111000
31202120021101102110000
4101022120330112320
5300220021444343
612244330153000
71221442515450
oct211230742670
952507342400
1018427921848
1178a7099486
1236a3582760
131978a99c8b
14c6b5bcd60
1572cc34ed3
hex44a63c5b8

18427921848 has 160 divisors (see below), whose sum is σ = 59183055360. Its totient is φ = 5247789120.

The previous prime is 18427921781. The next prime is 18427921859. The reversal of 18427921848 is 84812972481.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 18427921794 and 18427921803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1404165 + ... + 1417227.

It is an arithmetic number, because the mean of its divisors is an integer number (369894096).

Almost surely, 218427921848 is an apocalyptic number.

18427921848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18427921848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29591527680).

18427921848 is an abundant number, since it is smaller than the sum of its proper divisors (40755133512).

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

18427921848 is a wasteful number, since it uses less digits than its factorization.

18427921848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13399 (or 13386 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The spelling of 18427921848 in words is "eighteen billion, four hundred twenty-seven million, nine hundred twenty-one thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 311 324 378 504 567 622 648 756 933 1134 1244 1512 1866 2177 2268 2488 2799 3732 4354 4536 5598 6531 7464 8397 8708 11196 13062 13063 16794 17416 19593 22392 25191 26124 26126 33588 39186 39189 50382 52248 52252 58779 67176 78372 78378 91441 100764 104504 117558 117567 156744 156756 176337 182882 201528 235116 235134 274323 313512 352674 352701 365764 470232 470268 548646 705348 705402 731528 822969 940536 1058103 1097292 1410696 1410804 1645938 2116206 2194584 2468907 2821608 3291876 4062593 4232412 4937814 6583752 7406721 8125186 8464824 9875628 12187779 14813442 16250372 19751256 24375558 28438151 29626884 32500744 36563337 48751116 56876302 59253768 73126674 85314453 97502232 109690011 113752604 146253348 170628906 219380022 227505208 255943359 292506696 329070033 341257812 438760044 511886718 658140066 682515624 767830077 877520088 1023773436 1316280132 1535660154 2047546872 2303490231 2632560264 3071320308 4606980462 6142640616 9213960924 18427921848