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5012707296384 = 2738431271093
BaseRepresentation
bin100100011110001110010…
…1000110100010010000000
3122202012200012010200000000
41020330130220310102000
51124112011031441014
614354450030000000
71025104362666354
oct110743450642200
918665605120000
105012707296384
1116629716513a7
1268b5b5646000
132a4908921258
1413488b2bb464
158a5d3106509
hex48f1ca34480

5012707296384 has 576 divisors, whose sum is σ = 15461776112640. Its totient is φ = 1617712072704.

The previous prime is 5012707296379. The next prime is 5012707296413. The reversal of 5012707296384 is 4836927072105.

It is a happy number.

5012707296384 is a `hidden beast` number, since 5 + 0 + 1 + 270 + 7 + 296 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5012707296384.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4586190942 + ... + 4586192034.

It is a 1-persistent number, because it is pandigital, but 2⋅5012707296384 = 10025414592768 is not.

Almost surely, 25012707296384 is an apocalyptic number.

5012707296384 is a gapful number since it is divisible by the number (54) 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 5012707296384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7730888056320).

5012707296384 is an abundant number, since it is smaller than the sum of its proper divisors (10449068816256).

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

5012707296384 is an equidigital number, since it uses as much as digits as its factorization.

5012707296384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 5012707296384 in words is "five trillion, twelve billion, seven hundred seven million, two hundred ninety-six thousand, three hundred eighty-four".