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18950419924992 = 2113219471151317
BaseRepresentation
bin1000100111100001111010…
…00011000100100000000000
32111002122100100101022100100
410103300331003010200000
54440440430000044432
6104145411442322400
73664060033416123
oct423607503044000
974078310338310
1018950419924992
116046912013a46
122160875359400
13a7602b27500a
144972c31943ba
1522ce25a7707c
hex113c3d0c4800

18950419924992 has 288 divisors, whose sum is σ = 58838797180800. Its totient is φ = 5857011597312.

The previous prime is 18950419924979. The next prime is 18950419924993. The reversal of 18950419924992 is 29942991405981.

It is a happy number.

18950419924992 is a `hidden beast` number, since 1 + 8 + 9 + 5 + 0 + 41 + 9 + 92 + 499 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 18950419924992.

It is not an unprimeable number, because it can be changed into a prime (18950419924993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15884118 + ... + 17035434.

It is an arithmetic number, because the mean of its divisors is an integer number (204301379100).

Almost surely, 218950419924992 is an apocalyptic number.

18950419924992 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 18950419924992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29419398590400).

18950419924992 is an abundant number, since it is smaller than the sum of its proper divisors (39888377255808).

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

18950419924992 is a wasteful number, since it uses less digits than its factorization.

18950419924992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151411 (or 1151388 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 72.

The spelling of 18950419924992 in words is "eighteen trillion, nine hundred fifty billion, four hundred nineteen million, nine hundred twenty-four thousand, nine hundred ninety-two".