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18877937230368 = 2533172478571877
BaseRepresentation
bin1000100101011010111001…
…01111100010001000100000
32110211201020220101220201000
410102231130233202020200
54433244003412332433
6104052223222512000
73655612611604536
oct422553457421040
973751226356630
1018877937230368
1160190a7468737
12214a806b95600
13a6c249679cb8
144939a8954156
1522b0d2508113
hex112b5cbe2220

18877937230368 has 576 divisors, whose sum is σ = 59836065569280. Its totient is φ = 5786631438336.

The previous prime is 18877937230367. The next prime is 18877937230381. The reversal of 18877937230368 is 86303273977881.

18877937230368 is a `hidden beast` number, since 1 + 8 + 87 + 7 + 93 + 72 + 30 + 368 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 18877937230296 and 18877937230305.

It is not an unprimeable number, because it can be changed into a prime (18877937230367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10057504246 + ... + 10057506122.

It is an arithmetic number, because the mean of its divisors is an integer number (103882058280).

Almost surely, 218877937230368 is an apocalyptic number.

18877937230368 is a gapful number since it is divisible by the number (18) 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 18877937230368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29918032784640).

18877937230368 is an abundant number, since it is smaller than the sum of its proper divisors (40958128338912).

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

18877937230368 is a wasteful number, since it uses less digits than its factorization.

18877937230368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 18877937230368 in words is "eighteen trillion, eight hundred seventy-seven billion, nine hundred thirty-seven million, two hundred thirty thousand, three hundred sixty-eight".