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538979026608 = 24321117471093907
BaseRepresentation
bin1111101011111011010…
…01110100011010110000
31220112012101010102112200
413311331221310122300
532312312112322413
61051334211023200
753640255064341
oct7657551643260
91815171112480
10538979026608
11198641678080
128855ab9ab00
133ba9682b969
141c12dd840c8
15e047b94573
hex7d7da746b0

538979026608 has 480 divisors, whose sum is σ = 1796169323520. Its totient is φ = 149030461440.

The previous prime is 538979026571. The next prime is 538979026609. The reversal of 538979026608 is 806620979835.

538979026608 is a `hidden beast` number, since 538 + 9 + 7 + 90 + 2 + 6 + 6 + 0 + 8 = 666.

It is a super-2 number, since 2×5389790266082 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (538979026609) 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 95 ways as a sum of consecutive naturals, for example, 137950191 + ... + 137954097.

It is an arithmetic number, because the mean of its divisors is an integer number (3742019424).

Almost surely, 2538979026608 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 538979026608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898084661760).

538979026608 is an abundant number, since it is smaller than the sum of its proper divisors (1257190296912).

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

538979026608 is a wasteful number, since it uses less digits than its factorization.

538979026608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4105 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 538979026608 in words is "five hundred thirty-eight billion, nine hundred seventy-nine million, twenty-six thousand, six hundred eight".