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5262948415368 = 233371731371371303
BaseRepresentation
bin100110010010110000000…
…1010111011011110001000
3200122010120220221122012000
41030211200022323132020
51142212004243242433
615105433133351000
71052143524262050
oct114454012733610
920563526848160
105262948415368
11174a0051a2936
1270bbb2938460
132c23a89333a7
14142a29b36560
1591d7c19d113
hex4c9602bb788

5262948415368 has 1024 divisors, whose sum is σ = 18906189004800. Its totient is φ = 1321835397120.

The previous prime is 5262948415357. The next prime is 5262948415369. The reversal of 5262948415368 is 8635148492625.

5262948415368 is a `hidden beast` number, since 5 + 2 + 6 + 2 + 94 + 8 + 4 + 1 + 536 + 8 = 666.

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 (5262948415369) 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 255 ways as a sum of consecutive naturals, for example, 4039100205 + ... + 4039101507.

It is an arithmetic number, because the mean of its divisors is an integer number (18463075200).

Almost surely, 25262948415368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5262948415368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9453094502400).

5262948415368 is an abundant number, since it is smaller than the sum of its proper divisors (13643240589432).

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

5262948415368 is a wasteful number, since it uses less digits than its factorization.

5262948415368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1537 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 5262948415368 in words is "five trillion, two hundred sixty-two billion, nine hundred forty-eight million, four hundred fifteen thousand, three hundred sixty-eight".