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18030923194752 = 27331361163181223
BaseRepresentation
bin1000001100110001001101…
…10001011010000110000000
32100211201222001001201012000
410012120212301122012000
54330404312314213002
6102203143004304000
73540456041234346
oct406304661320600
970751861051160
1018030923194752
115821965095156
12203261b842000
13a0a40246c750
144649b668d996
1521405ba9161c
hex106626c5a180

18030923194752 has 1024 divisors, whose sum is σ = 59194744627200. Its totient is φ = 5369396428800.

The previous prime is 18030923194747. The next prime is 18030923194771. The reversal of 18030923194752 is 25749132903081.

18030923194752 is a `hidden beast` number, since 1 + 80 + 3 + 0 + 92 + 3 + 1 + 9 + 475 + 2 = 666.

It is a super-2 number, since 2×180309231947522 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 80856157713 + ... + 80856157935.

It is an arithmetic number, because the mean of its divisors is an integer number (57807367800).

Almost surely, 218030923194752 is an apocalyptic number.

18030923194752 is a gapful number since it is divisible by the number (12) 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 18030923194752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29597372313600).

18030923194752 is an abundant number, since it is smaller than the sum of its proper divisors (41163821432448).

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

18030923194752 is a wasteful number, since it uses less digits than its factorization.

18030923194752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 18030923194752 in words is "eighteen trillion, thirty billion, nine hundred twenty-three million, one hundred ninety-four thousand, seven hundred fifty-two".