Search a number
-
+
5281436592432 = 24327111359621017
BaseRepresentation
bin100110011011010111000…
…1001101110100100110000
3200200220022101201100020200
41030312232021232210300
51143012340231424212
615122131455235200
71053366631216650
oct114665611564460
920626271640220
105281436592432
1117569322a6a10
127136b2518b00
132c4064039530
141438a131c360
15925b03366dc
hex4cdae26e930

5281436592432 has 480 divisors, whose sum is σ = 20181793282560. Its totient is φ = 1244814151680.

The previous prime is 5281436592403. The next prime is 5281436592493. The reversal of 5281436592432 is 2342956341825.

5281436592432 is a `hidden beast` number, since 5 + 2 + 8 + 1 + 4 + 3 + 6 + 592 + 43 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8193988 + ... + 8815004.

It is an arithmetic number, because the mean of its divisors is an integer number (42045402672).

Almost surely, 25281436592432 is an apocalyptic number.

5281436592432 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 5281436592432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10090896641280).

5281436592432 is an abundant number, since it is smaller than the sum of its proper divisors (14900356690128).

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

5281436592432 is a wasteful number, since it uses less digits than its factorization.

5281436592432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621121 (or 621112 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 5281436592432 in words is "five trillion, two hundred eighty-one billion, four hundred thirty-six million, five hundred ninety-two thousand, four hundred thirty-two".