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18985013470080 = 27335717127139523
BaseRepresentation
bin1000101000100010010101…
…11110111110001110000000
32111012221122020020110222000
410110101022332332032000
54442022301422020310
6104213332250144000
73666423221614530
oct424211276761600
974187566213860
1018985013470080
11605a554190429
12216750a722000
13a79382207318
14498c456d94c0
1522dc9cabb4c0
hex11444afbe380

18985013470080 has 2048 divisors, whose sum is σ = 82752897024000. Its totient is φ = 4015169077248.

The previous prime is 18985013470051. The next prime is 18985013470091. The reversal of 18985013470080 is 8007431058981.

18985013470080 is a `hidden beast` number, since 1 + 8 + 9 + 85 + 0 + 13 + 470 + 0 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 18985013469999 and 18985013470026.

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, 36300216699 + ... + 36300217221.

It is an arithmetic number, because the mean of its divisors is an integer number (40406688000).

Almost surely, 218985013470080 is an apocalyptic number.

18985013470080 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 18985013470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41376448512000).

18985013470080 is an abundant number, since it is smaller than the sum of its proper divisors (63767883553920).

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

18985013470080 is a wasteful number, since it uses less digits than its factorization.

18985013470080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 18985013470080 in words is "eighteen trillion, nine hundred eighty-five billion, thirteen million, four hundred seventy thousand, eighty".