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18973299068640 = 25335731375310321
BaseRepresentation
bin1000101000001100100001…
…10000000100111011100000
32111011211101211112020012000
410110012100300010323200
54441324304030144030
6104204114022004000
73665530016056620
oct424062060047340
974154354466160
1018973299068640
116055592767224
12216519b576600
13a7823629a537
144984539c2880
1522d814462860
hex114190c04ee0

18973299068640 has 1536 divisors, whose sum is σ = 81984729415680. Its totient is φ = 4005996134400.

The previous prime is 18973299068579. The next prime is 18973299068653. The reversal of 18973299068640 is 4686099237981.

18973299068640 is a `hidden beast` number, since 18 + 97 + 329 + 90 + 6 + 86 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1838314680 + ... + 1838325000.

It is an arithmetic number, because the mean of its divisors is an integer number (53375474880).

Almost surely, 218973299068640 is an apocalyptic number.

18973299068640 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 18973299068640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40992364707840).

18973299068640 is an abundant number, since it is smaller than the sum of its proper divisors (63011430347040).

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

18973299068640 is a wasteful number, since it uses less digits than its factorization.

18973299068640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10473 (or 10459 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 18973299068640 in words is "eighteen trillion, nine hundred seventy-three billion, two hundred ninety-nine million, sixty-eight thousand, six hundred forty".