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131472222336 = 27377132397
BaseRepresentation
bin111101001110001011…
…0101110100010000000
3110120100112011220000000
41322130112232202000
54123223342103321
6140221510000000
712333001310520
oct1723426564200
9416315156000
10131472222336
1150836707604
1221591946000
13c522bbc500
146512c1b680
153647222826
hex1e9c5ae880

131472222336 has 768 divisors, whose sum is σ = 487346860800. Its totient is φ = 34586652672.

The previous prime is 131472222281. The next prime is 131472222341. The reversal of 131472222336 is 633222274131.

131472222336 is a `hidden beast` number, since 1 + 31 + 4 + 72 + 222 + 336 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 131472222336.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 331164090 + ... + 331164486.

It is an arithmetic number, because the mean of its divisors is an integer number (634566225).

Almost surely, 2131472222336 is an apocalyptic number.

131472222336 is a gapful number since it is divisible by the number (16) 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 131472222336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243673430400).

131472222336 is an abundant number, since it is smaller than the sum of its proper divisors (355874638464).

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

131472222336 is an frugal number, since it uses more digits than its factorization.

131472222336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 422 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

Adding to 131472222336 its reverse (633222274131), we get a palindrome (764694496467).

The spelling of 131472222336 in words is "one hundred thirty-one billion, four hundred seventy-two million, two hundred twenty-two thousand, three hundred thirty-six".