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18507055104 = 21432125509
BaseRepresentation
bin10001001111000110…
…110100000000000000
31202202210021210212100
4101033012310000000
5300400301230404
612300234230400
71223423241606
oct211706640000
952683253770
1018507055104
11793782846a
123705b85400
13198c2b59a5
14c77cdb876
15734b66d39
hex44f1b4000

18507055104 has 90 divisors (see below), whose sum is σ = 53463620210. Its totient is φ = 6168969216.

The previous prime is 18507055033. The next prime is 18507055109. The reversal of 18507055104 is 40155070581.

It can be written as a sum of positive squares in only one way, i.e., 18374344704 + 132710400 = 135552^2 + 11520^2 .

It is a super-2 number, since 2×185070551042 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18507055109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 84702 + ... + 210210.

Almost surely, 218507055104 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 18507055104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26731810105).

18507055104 is an abundant number, since it is smaller than the sum of its proper divisors (34956565106).

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

18507055104 is an equidigital number, since it uses as much as digits as its factorization.

18507055104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125543 (or 125514 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The spelling of 18507055104 in words is "eighteen billion, five hundred seven million, fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 12288 16384 18432 24576 36864 49152 73728 125509 147456 251018 376527 502036 753054 1004072 1129581 1506108 2008144 2259162 3012216 4016288 4518324 6024432 8032576 9036648 12048864 16065152 18073296 24097728 32130304 36146592 48195456 64260608 72293184 96390912 128521216 144586368 192781824 257042432 289172736 385563648 514084864 578345472 771127296 1028169728 1156690944 1542254592 2056339456 2313381888 3084509184 4626763776 6169018368 9253527552 18507055104