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8018479909440 = 263257111323314783
BaseRepresentation
bin111010010101111001010…
…1001011000101001000000
31001101120002122121001212200
41310223302221120221000
52022333321324100230
625015345552353200
71455213256441230
oct164536251305100
931346078531780
108018479909440
11261168895a770
12a96050845800
134621a7394110
141da14cb11cc0
15dd8a4519160
hex74af2a58a40

8018479909440 has 5376 divisors, whose sum is σ = 41226772414464. Its totient is φ = 1376604979200.

The previous prime is 8018479909423. The next prime is 8018479909441. The reversal of 8018479909440 is 449099748108.

It is a happy number.

8018479909440 is a `hidden beast` number, since 8 + 0 + 184 + 7 + 9 + 9 + 0 + 9 + 440 = 666.

It is a super-2 number, since 2×80184799094402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (8018479909441) 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 767 ways as a sum of consecutive naturals, for example, 96608191639 + ... + 96608191721.

It is an arithmetic number, because the mean of its divisors is an integer number (7668670464).

Almost surely, 28018479909440 is an apocalyptic number.

8018479909440 is a gapful number since it is divisible by the number (80) 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 8018479909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20613386207232).

8018479909440 is an abundant number, since it is smaller than the sum of its proper divisors (33208292505024).

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

8018479909440 is a wasteful number, since it uses less digits than its factorization.

8018479909440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 8018479909440 in words is "eight trillion, eighteen billion, four hundred seventy-nine million, nine hundred nine thousand, four hundred forty".