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5298431175360 = 26355174008133
BaseRepresentation
bin100110100011010001100…
…0110111010101011000000
3200202112011210000121100000
41031012203012322223000
51143302141340102420
615134022104200000
71054541030616651
oct115064306725300
920675153017300
105298431175360
1117630632a5674
12716a55a69000
132c5841b8406b
141446343cb528
1592c572dd690
hex4d1a31baac0

5298431175360 has 336 divisors, whose sum is σ = 20011106003616. Its totient is φ = 1329802002432.

The previous prime is 5298431175313. The next prime is 5298431175371. The reversal of 5298431175360 is 635711348925.

It is a happy number.

5298431175360 is a `hidden beast` number, since 5 + 2 + 9 + 8 + 431 + 175 + 36 + 0 = 666.

It is a super-2 number, since 2×52984311753602 (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5298431175297 and 5298431175306.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 682147 + ... + 3325986.

It is an arithmetic number, because the mean of its divisors is an integer number (59556863106).

It is a 1-persistent number, because it is pandigital, but 2⋅5298431175360 = 10596862350720 is not.

Almost surely, 25298431175360 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 5298431175360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10005553001808).

5298431175360 is an abundant number, since it is smaller than the sum of its proper divisors (14712674828256).

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

5298431175360 is a wasteful number, since it uses less digits than its factorization.

5298431175360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008182 (or 4008160 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 5298431175360 in words is "five trillion, two hundred ninety-eight billion, four hundred thirty-one million, one hundred seventy-five thousand, three hundred sixty".