Search a number
-
+
131326752648 = 2337132941103491
BaseRepresentation
bin111101001001110101…
…1110011011110001000
3110112222101110021002210
41322103223303132020
54122424122041043
6140155232025120
712326253656610
oct1722353633610
9415871407083
10131326752648
115077158a023
12215510921a0
13c4cba18680
1464db791a40
15363958a633
hex1e93af3788

131326752648 has 512 divisors, whose sum is σ = 433249689600. Its totient is φ = 32243097600.

The previous prime is 131326752643. The next prime is 131326752701. The reversal of 131326752648 is 846257623131.

It is a super-2 number, since 2×1313267526482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131326752597 and 131326752606.

It is not an unprimeable number, because it can be changed into a prime (131326752643) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 267467683 + ... + 267468173.

It is an arithmetic number, because the mean of its divisors is an integer number (846190800).

Almost surely, 2131326752648 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 131326752648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216624844800).

131326752648 is an abundant number, since it is smaller than the sum of its proper divisors (301922936952).

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

131326752648 is a wasteful number, since it uses less digits than its factorization.

131326752648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 689 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The spelling of 131326752648 in words is "one hundred thirty-one billion, three hundred twenty-six million, seven hundred fifty-two thousand, six hundred forty-eight".