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5053532816592 = 2435133137611429
BaseRepresentation
bin100100110001001111000…
…0001110100010011010000
3122220010001101112222100000
41021202132001310103100
51130244113400112332
614425321054330000
71031051153123541
oct111423601642320
918803041488300
105053532816592
111679211590a47
126974a9ab9900
132a8713a205c0
141368413784c8
158b6c2306b7c
hex4989e0744d0

5053532816592 has 960 divisors, whose sum is σ = 17031481026560. Its totient is φ = 1439094988800.

The previous prime is 5053532816477. The next prime is 5053532816597. The reversal of 5053532816592 is 2956182353505.

5053532816592 is a `hidden beast` number, since 5 + 0 + 5 + 3 + 5 + 32 + 8 + 16 + 592 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5053532816597) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 3536411334 + ... + 3536412762.

Almost surely, 25053532816592 is an apocalyptic number.

5053532816592 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5053532816592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8515740513280).

5053532816592 is an abundant number, since it is smaller than the sum of its proper divisors (11977948209968).

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

5053532816592 is a wasteful number, since it uses less digits than its factorization.

5053532816592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 54.

The spelling of 5053532816592 in words is "five trillion, fifty-three billion, five hundred thirty-two million, eight hundred sixteen thousand, five hundred ninety-two".