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5261306406798 = 23133771107317757
BaseRepresentation
bin100110010001111111001…
…0011001010011110001110
3200121222100111012221212210
41030203332103022132032
51142200123420004143
615105002155411250
71052055035400051
oct114437623123616
920558314187783
105261306406798
111749342339562
1270b814a53b26
132c21a66ac7a0
14142911a28a98
1591cd2e52033
hex4c8fe4ca78e

5261306406798 has 256 divisors, whose sum is σ = 11965902391296. Its totient is φ = 1531533588480.

The previous prime is 5261306406791. The next prime is 5261306406847. The reversal of 5261306406798 is 8976046031625.

It is a super-2 number, since 2×52613064067982 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5261306406791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6950206236 + ... + 6950206992.

It is an arithmetic number, because the mean of its divisors is an integer number (46741806216).

It is a 1-persistent number, because it is pandigital, but 2⋅5261306406798 = 10522612813596 is not.

Almost surely, 25261306406798 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5261306406798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5982951195648).

5261306406798 is an abundant number, since it is smaller than the sum of its proper divisors (6704595984498).

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

5261306406798 is a wasteful number, since it uses less digits than its factorization.

5261306406798 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307.

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 5261306406798 in words is "five trillion, two hundred sixty-one billion, three hundred six million, four hundred six thousand, seven hundred ninety-eight".