Search a number
-
+
536264030016 = 26321113232943227
BaseRepresentation
bin1111100110110111101…
…00111011011101000000
31220021012011101022101100
413303123310323131000
532241232042430031
61050204543134400
753513060021361
oct7633364733500
91807164338340
10536264030016
11197479078a40
1287b218a4400
133b7531c42c0
141bd53569b68
15de3964ade6
hex7cdbd3b740

536264030016 has 1344 divisors, whose sum is σ = 2003440158720. Its totient is φ = 134716538880.

The previous prime is 536264029999. The next prime is 536264030069. The reversal of 536264030016 is 610030462635.

536264030016 is a `hidden beast` number, since 5 + 3 + 6 + 2 + 640 + 3 + 0 + 0 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 2362396495 + ... + 2362396721.

It is an arithmetic number, because the mean of its divisors is an integer number (1490654880).

Almost surely, 2536264030016 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 536264030016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001720079360).

536264030016 is an abundant number, since it is smaller than the sum of its proper divisors (1467176128704).

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

536264030016 is a wasteful number, since it uses less digits than its factorization.

536264030016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 536264030016 in words is "five hundred thirty-six billion, two hundred sixty-four million, thirty thousand, sixteen".