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13394536096032 = 25327131134522883
BaseRepresentation
bin1100001011101010100010…
…0100001110000100100000
31202102111122020202211002200
43002322220210032010200
53223424002220033112
644253210454213200
72551503043156260
oct302725044160440
952374566684080
1013394536096032
1142a4655482183
121603b4b054200
1376213a310690
143444286897a0
15183651540cdc
hexc2ea890e120

13394536096032 has 288 divisors, whose sum is σ = 47295761804928. Its totient is φ = 3501361963008.

The previous prime is 13394536096027. The next prime is 13394536096033. The reversal of 13394536096032 is 23069063549331.

13394536096032 is a `hidden beast` number, since 13 + 3 + 9 + 4 + 536 + 0 + 9 + 60 + 32 = 666.

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

It is a super-2 number, since 2×133945360960322 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13394536096032.

It is not an unprimeable number, because it can be changed into a prime (13394536096033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 700063 + ... + 5222945.

It is an arithmetic number, because the mean of its divisors is an integer number (164221395156).

Almost surely, 213394536096032 is an apocalyptic number.

13394536096032 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 13394536096032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23647880902464).

13394536096032 is an abundant number, since it is smaller than the sum of its proper divisors (33901225708896).

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

13394536096032 is a wasteful number, since it uses less digits than its factorization.

13394536096032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4523032 (or 4523021 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 54.

The spelling of 13394536096032 in words is "thirteen trillion, three hundred ninety-four billion, five hundred thirty-six million, ninety-six thousand, thirty-two".