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18349161679680 = 26351331371281853
BaseRepresentation
bin1000010110000001111110…
…10000111000101101000000
32101222011101121220202202220
410023000333100320231000
54401113040342222210
6103005253303411040
73602453221564326
oct413007720705500
971864347822686
1018349161679680
115934921452097
122084235153a80
13a3141aa3bc70
14476165b7bd16
1521c485515c70
hex10b03f438b40

18349161679680 has 448 divisors, whose sum is σ = 66514317047808. Its totient is φ = 4252877291520.

The previous prime is 18349161679663. The next prime is 18349161679729. The reversal of 18349161679680 is 8697616194381.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13673634 + ... + 14955486.

It is an arithmetic number, because the mean of its divisors is an integer number (148469457696).

Almost surely, 218349161679680 is an apocalyptic number.

18349161679680 is a gapful number since it is divisible by the number (10) 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 18349161679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33257158523904).

18349161679680 is an abundant number, since it is smaller than the sum of its proper divisors (48165155368128).

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

18349161679680 is a wasteful number, since it uses less digits than its factorization.

18349161679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281954 (or 1281944 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 69.

The spelling of 18349161679680 in words is "eighteen trillion, three hundred forty-nine billion, one hundred sixty-one million, six hundred seventy-nine thousand, six hundred eighty".