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18004012701696 = 211337176797421
BaseRepresentation
bin1000001011111111000101…
…10010000001100000000000
32100202011111121020000121000
410011333202302001200000
54324434204222423241
6102142532415132000
73535514134641360
oct405774262014000
970664447200530
1018004012701696
11581150589644a
12202936b514000
13a07a0419a588
144635826aa9a0
152134d42dbeb6
hex105fe2c81800

18004012701696 has 1536 divisors, whose sum is σ = 66332112537600. Its totient is φ = 4708777328640.

The previous prime is 18004012701691. The next prime is 18004012701721. The reversal of 18004012701696 is 69610721040081.

18004012701696 is a `hidden beast` number, since 1 + 80 + 0 + 401 + 2 + 7 + 0 + 169 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18004012701691) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42764875566 + ... + 42764875986.

It is an arithmetic number, because the mean of its divisors is an integer number (43184969100).

Almost surely, 218004012701696 is an apocalyptic number.

18004012701696 is a gapful number since it is divisible by the number (16) 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 18004012701696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33166056268800).

18004012701696 is an abundant number, since it is smaller than the sum of its proper divisors (48328099835904).

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

18004012701696 is a wasteful number, since it uses less digits than its factorization.

18004012701696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 18004012701696 in words is "eighteen trillion, four billion, twelve million, seven hundred one thousand, six hundred ninety-six".