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18426007440 = 2433538322273
BaseRepresentation
bin10001001010010001…
…101000111110010000
31202120010210011101000
4101022101220332100
5300214024214230
612244221142000
71221420323211
oct211221507620
952503704330
1018426007440
1178a6001125
1236a29ba900
1319785797a9
14c6b241408
1572c9a7b60
hex44a468f90

18426007440 has 160 divisors (see below), whose sum is σ = 63635927040. Its totient is φ = 4900552704.

The previous prime is 18426007433. The next prime is 18426007451. The reversal of 18426007440 is 4470062481.

18426007440 is a `hidden beast` number, since 1 + 8 + 4 + 2 + 600 + 7 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18426007395 and 18426007404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 816144 + ... + 838416.

It is an arithmetic number, because the mean of its divisors is an integer number (397724544).

Almost surely, 218426007440 is an apocalyptic number.

18426007440 is a gapful number since it is divisible by the number (10) 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 18426007440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31817963520).

18426007440 is an abundant number, since it is smaller than the sum of its proper divisors (45209919600).

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

18426007440 is a wasteful number, since it uses less digits than its factorization.

18426007440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22678 (or 22666 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 18426007440 in words is "eighteen billion, four hundred twenty-six million, seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 383 432 540 720 766 1080 1149 1532 1915 2160 2298 3064 3447 3830 4596 5745 6128 6894 7660 9192 10341 11490 13788 15320 17235 18384 20682 22273 22980 27576 30640 34470 41364 44546 45960 51705 55152 66819 68940 82728 89092 91920 103410 111365 133638 137880 165456 178184 200457 206820 222730 267276 275760 334095 356368 400914 413640 445460 534552 601371 668190 801828 827280 890920 1002285 1069104 1202742 1336380 1603656 1781840 2004570 2405484 2672760 3006855 3207312 4009140 4810968 5345520 6013710 8018280 8530559 9621936 12027420 16036560 17061118 24054840 25591677 34122236 42652795 48109680 51183354 68244472 76775031 85305590 102366708 127958385 136488944 153550062 170611180 204733416 230325093 255916770 307100124 341222360 383875155 409466832 460650186 511833540 614200248 682444720 767750310 921300372 1023667080 1151625465 1228400496 1535500620 1842600744 2047334160 2303250930 3071001240 3685201488 4606501860 6142002480 9213003720 18426007440