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538534329216 = 273132193173193
BaseRepresentation
bin1111101011000110010…
…01011011101110000000
31220111001101100110101220
413311203021123232000
532310404242013331
61051222123355040
753623245161442
oct7654311335600
91814041313356
10538534329216
11198433653374
1288456082a80
133ba2566a700
141c0caca6492
15e01db02296
hex7d6325bb80

538534329216 has 768 divisors, whose sum is σ = 1715002214400. Its totient is φ = 149060321280.

The previous prime is 538534329101. The next prime is 538534329217. The reversal of 538534329216 is 612923435835.

538534329216 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538534329217) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2790333216 + ... + 2790333408.

It is an arithmetic number, because the mean of its divisors is an integer number (2233075800).

Almost surely, 2538534329216 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 538534329216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857501107200).

538534329216 is an abundant number, since it is smaller than the sum of its proper divisors (1176467885184).

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

538534329216 is a wasteful number, since it uses less digits than its factorization.

538534329216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 334 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 51.

The spelling of 538534329216 in words is "five hundred thirty-eight billion, five hundred thirty-four million, three hundred twenty-nine thousand, two hundred sixteen".