Search a number
-
+
539390514816 = 273219611273181
BaseRepresentation
bin1111101100101100010…
…11100001011010000000
31220120021001102012020200
413312112023201122000
532314132432433231
61051443110405200
753653412504406
oct7662613413200
91816231365220
10539390514816
1119883297a27a
1288654960800
133bb30b632ca
141c16c899476
15e06dd76be6
hex7d962e1680

539390514816 has 384 divisors, whose sum is σ = 1674230937600. Its totient is φ = 166170009600.

The previous prime is 539390514791. The next prime is 539390514907. The reversal of 539390514816 is 618415093935.

539390514816 is a `hidden beast` number, since 5 + 39 + 3 + 90 + 514 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169564746 + ... + 169567926.

It is an arithmetic number, because the mean of its divisors is an integer number (4359976400).

Almost surely, 2539390514816 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 539390514816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837115468800).

539390514816 is an abundant number, since it is smaller than the sum of its proper divisors (1134840422784).

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

539390514816 is a wasteful number, since it uses less digits than its factorization.

539390514816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3408 (or 3393 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 539390514816 in words is "five hundred thirty-nine billion, three hundred ninety million, five hundred fourteen thousand, eight hundred sixteen".