Search a number
-
+
539419345920 = 2103257213172347
BaseRepresentation
bin1111101100101111110…
…01100000010000000000
31220120100001122222002100
413312113321200100000
532314212323032140
61051450020350400
753654212534200
oct7662771402000
91816301588070
10539419345920
11198848181534
1288662545400
133bb36b19230
141c172642400
15e07166e530
hex7d97e60400

539419345920 has 3168 divisors, whose sum is σ = 2642045672448. Its totient is φ = 100279517184.

The previous prime is 539419345919. The next prime is 539419345931. The reversal of 539419345920 is 29543914935.

539419345920 is a `hidden beast` number, since 5 + 3 + 9 + 4 + 19 + 34 + 592 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11477007337 + ... + 11477007383.

Almost surely, 2539419345920 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 539419345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321022836224).

539419345920 is an abundant number, since it is smaller than the sum of its proper divisors (2102626326528).

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

539419345920 is a wasteful number, since it uses less digits than its factorization.

539419345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 539419345920 in words is "five hundred thirty-nine billion, four hundred nineteen million, three hundred forty-five thousand, nine hundred twenty".