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18978641345664 = 2734721131317127
BaseRepresentation
bin1000101000010110011110…
…01011001111110010000000
32111012100012010222000120000
410110023033023033302000
54441421224141030124
6104210400101320000
73666106265504400
oct424131713176200
974170163860500
1018978641345664
1160578842a4000
122166230706000
13a788a8009cc0
144987dd300800
1522da284796c9
hex1142cf2cfc80

18978641345664 has 3840 divisors, whose sum is σ = 83052363018240. Its totient is φ = 4248935792640.

The previous prime is 18978641345663. The next prime is 18978641345701. The reversal of 18978641345664 is 46654314687981.

18978641345664 is a `hidden beast` number, since 1 + 8 + 9 + 78 + 6 + 41 + 3 + 456 + 64 = 666.

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

Its product of digits (836075520) is a multiple of the sum of its prime divisors (180).

It is a junction number, because it is equal to n+sod(n) for n = 18978641345592 and 18978641345601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18978641345663) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 149438120769 + ... + 149438120895.

It is an arithmetic number, because the mean of its divisors is an integer number (21628219536).

Almost surely, 218978641345664 is an apocalyptic number.

18978641345664 is a gapful number since it is divisible by the number (14) 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 18978641345664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41526181509120).

18978641345664 is an abundant number, since it is smaller than the sum of its proper divisors (64073721672576).

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

18978641345664 is a wasteful number, since it uses less digits than its factorization.

18978641345664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 180 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 18978641345664 in words is "eighteen trillion, nine hundred seventy-eight billion, six hundred forty-one million, three hundred forty-five thousand, six hundred sixty-four".