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18466837056 = 263325142577
BaseRepresentation
bin10001001100101101…
…011001001001000000
31202122222121112002000
4101030231121021000
5300310002241211
612252240224000
71222424345043
oct211455311100
952588545060
1018466837056
117917059008
1236b460b000
131983b73b25
14c7282cc5a
15731370656
hex44cb59240

18466837056 has 112 divisors (see below), whose sum is σ = 54506652480. Its totient is φ = 6130944000.

The previous prime is 18466837043. The next prime is 18466837073. The reversal of 18466837056 is 65073866481.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 18466836993 and 18466837011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412440 + ... + 455016.

It is an arithmetic number, because the mean of its divisors is an integer number (486666540).

Almost surely, 218466837056 is an apocalyptic number.

18466837056 is a gapful number since it is divisible by the number (16) 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 18466837056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27253326240).

18466837056 is an abundant number, since it is smaller than the sum of its proper divisors (36039815424).

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

18466837056 is a wasteful number, since it uses less digits than its factorization.

18466837056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42849 (or 42833 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 18466837056 in words is "eighteen billion, four hundred sixty-six million, eight hundred thirty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 251 288 432 502 576 753 864 1004 1506 1728 2008 2259 3012 4016 4518 6024 6777 8032 9036 12048 13554 16064 18072 24096 27108 36144 42577 48192 54216 72288 85154 108432 127731 144576 170308 216864 255462 340616 383193 433728 510924 681232 766386 1021848 1149579 1362464 1532772 2043696 2299158 2724928 3065544 4087392 4598316 6131088 8174784 9196632 10686827 12262176 18393264 21373654 24524352 32060481 36786528 42747308 64120962 73573056 85494616 96181443 128241924 170989232 192362886 256483848 288544329 341978464 384725772 512967696 577088658 683956928 769451544 1025935392 1154177316 1538903088 2051870784 2308354632 3077806176 4616709264 6155612352 9233418528 18466837056