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18212450984640 = 26325112476118229
BaseRepresentation
bin1000010010000011010101…
…01010111110001011000000
32101111002112000121220011100
410021001222222332023000
54341343044423002030
6102422403503014400
73556543341054363
oct411015252761300
971432460556140
1018212450984640
115891947868500
122061840b9a400
13a21571786283
1446d6b73440da
15218b33483360
hex10906aabe2c0

18212450984640 has 1008 divisors, whose sum is σ = 71477533895040. Its totient is φ = 4250127974400.

The previous prime is 18212450984587. The next prime is 18212450984653. The reversal of 18212450984640 is 4648905421281.

18212450984640 is a `hidden beast` number, since 1 + 8 + 2 + 12 + 4 + 509 + 84 + 6 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 999083046 + ... + 999101274.

It is an arithmetic number, because the mean of its divisors is an integer number (70910251880).

Almost surely, 218212450984640 is an apocalyptic number.

18212450984640 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 18212450984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35738766947520).

18212450984640 is an abundant number, since it is smaller than the sum of its proper divisors (53265082910400).

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

18212450984640 is a wasteful number, since it uses less digits than its factorization.

18212450984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18382 (or 18358 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 18212450984640 in words is "eighteen trillion, two hundred twelve billion, four hundred fifty million, nine hundred eighty-four thousand, six hundred forty".