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18146006424 = 2333713923179
BaseRepresentation
bin10000111001100101…
…100001010110011000
31201211121220122012000
4100321211201112120
5244130334201144
612200335521000
71211450336550
oct207145412630
951747818160
1018146006424
117771a47227
123625089160
131932561810
14c41d96160
157130e9769
hex439961598

18146006424 has 128 divisors (see below), whose sum is σ = 62037696000. Its totient is φ = 4785754752.

The previous prime is 18146006401. The next prime is 18146006447. The reversal of 18146006424 is 42460064181.

It is a happy number.

18146006424 is a `hidden beast` number, since 1 + 8 + 1 + 4 + 6 + 0 + 0 + 642 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (18146006401) and next prime (18146006447).

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

It is a congruent number.

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, 441934 + ... + 481245.

It is an arithmetic number, because the mean of its divisors is an integer number (484669500).

Almost surely, 218146006424 is an apocalyptic number.

18146006424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

18146006424 is an abundant number, since it is smaller than the sum of its proper divisors (43891689576).

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

18146006424 is a wasteful number, since it uses less digits than its factorization.

18146006424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923214 (or 923204 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 18146006424 in words is "eighteen billion, one hundred forty-six million, six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 6552 9828 19656 923179 1846358 2769537 3692716 5539074 6462253 7385432 8308611 11078148 12001327 12924506 16617222 19386759 22156296 24002654 24925833 25849012 33234444 36003981 38773518 48005308 49851666 51698024 58160277 66468888 72007962 77547036 84009289 96010616 99703332 108011943 116320554 144015924 155094072 168018578 174480831 199406664 216023886 232641108 252027867 288031848 324035829 336037156 348961662 432047772 465282216 504055734 648071658 672074312 697923324 756083601 864095544 1008111468 1296143316 1395846648 1512167202 2016222936 2268250803 2592286632 3024334404 4536501606 6048668808 9073003212 18146006424