Search a number
-
+
535435100564 = 2271359831312293
BaseRepresentation
bin1111100101010100110…
…10110100000110010100
31220012001101121022221112
413302222122310012110
532233032341204224
61045550412234152
753453403155420
oct7625232640624
91805041538845
10535435100564
11197093178a81
128793016b958
133b6505527c0
141bcb542db80
15dddb9ac30e
hex7caa6b4194

535435100564 has 192 divisors, whose sum is σ = 1196503418880. Its totient is φ = 204062077440.

The previous prime is 535435100549. The next prime is 535435100591. The reversal of 535435100564 is 465001534535.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 233507402 + ... + 233509694.

It is an arithmetic number, because the mean of its divisors is an integer number (6231788640).

Almost surely, 2535435100564 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 535435100564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598251709440).

535435100564 is an abundant number, since it is smaller than the sum of its proper divisors (661068318316).

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

535435100564 is a wasteful number, since it uses less digits than its factorization.

535435100564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 41.

The spelling of 535435100564 in words is "five hundred thirty-five billion, four hundred thirty-five million, one hundred thousand, five hundred sixty-four".