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18137400576912 = 2432278329452537
BaseRepresentation
bin1000001111110111100010…
…10100011000101110010000
32101012220210122001011022200
410013323301110120232100
54334130344021430122
6102324112400203200
73551245460114061
oct407736124305620
971186718034280
1018137400576912
11586303486a351
12204b196909500
13a17470c111a6
14469bd7aa8568
15216bde7b05ac
hex107ef1518b90

18137400576912 has 60 divisors (see below), whose sum is σ = 50759825320620. Its totient is φ = 6045765110784.

The previous prime is 18137400576829. The next prime is 18137400577007. The reversal of 18137400576912 is 21967500473181.

18137400576912 is a `hidden beast` number, since 1 + 8 + 13 + 7 + 40 + 0 + 576 + 9 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16320177950976 + 1817222625936 = 4039824^2 + 1348044^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39853108 + ... + 40305644.

It is an arithmetic number, because the mean of its divisors is an integer number (845997088677).

It is a 1-persistent number, because it is pandigital, but 2⋅18137400576912 = 36274801153824 is not.

Almost surely, 218137400576912 is an apocalyptic number.

18137400576912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18137400576912 is an abundant number, since it is smaller than the sum of its proper divisors (32622424743708).

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

18137400576912 is a wasteful number, since it uses less digits than its factorization.

18137400576912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730880 (or 730871 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 18137400576912 in words is "eighteen trillion, one hundred thirty-seven billion, four hundred million, five hundred seventy-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 278329 452537 556658 834987 905074 1113316 1357611 1669974 1810148 2226632 2504961 2715222 3339948 3620296 4072833 4453264 5009922 5430444 6679896 7240592 8145666 10019844 10860888 13359792 16291332 20039688 21721776 32582664 40079376 65165328 125954170673 251908341346 377862512019 503816682692 755725024038 1007633365384 1133587536057 1511450048076 2015266730768 2267175072114 3022900096152 4534350144228 6045800192304 9068700288456 18137400576912