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18353670216672 = 253727312009251
BaseRepresentation
bin1000010110001010010111…
…11111100101101111100000
32101222121000211112011211110
410023011023333211233200
54401201304033413142
6103011320521143320
73603003025532130
oct413051377455740
971877024464743
1018353670216672
1159368253a371a
12208509302ab40
13a31988b1442b
1447647286aac0
1521c64b23d99c
hex10b14bfe5be0

18353670216672 has 48 divisors (see below), whose sum is σ = 55061010652032. Its totient is φ = 5243905776000.

The previous prime is 18353670216671. The next prime is 18353670216743. The reversal of 18353670216672 is 27661207635381.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18353670216671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13656003954 + ... + 13656005297.

It is an arithmetic number, because the mean of its divisors is an integer number (1147104388584).

Almost surely, 218353670216672 is an apocalyptic number.

18353670216672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18353670216672 is an abundant number, since it is smaller than the sum of its proper divisors (36707340435360).

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

18353670216672 is a wasteful number, since it uses less digits than its factorization.

18353670216672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27312009271 (or 27312009263 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 57.

The spelling of 18353670216672 in words is "eighteen trillion, three hundred fifty-three billion, six hundred seventy million, two hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 27312009251 54624018502 81936027753 109248037004 163872055506 191184064757 218496074008 327744111012 382368129514 436992148016 573552194271 655488222024 764736259028 873984296032 1147104388542 1310976444048 1529472518056 2294208777084 2621952888096 3058945036112 4588417554168 6117890072224 9176835108336 18353670216672