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131932866520 = 2357213193159149
BaseRepresentation
bin111101011011111001…
…1111100011111011000
3110121112121222001000201
41322313303330133120
54130144303212040
6140335323111544
712350263601500
oct1726763743730
9417477861021
10131932866520
1150a52733384
12216a00725b4
13c597475030
14655808aa00
1536728b4a9a
hex1eb7cfc7d8

131932866520 has 768 divisors, whose sum is σ = 413683200000. Its totient is φ = 37379543040.

The previous prime is 131932866473. The next prime is 131932866521. The reversal of 131932866520 is 25668239131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131932866521) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 885455406 + ... + 885455554.

It is an arithmetic number, because the mean of its divisors is an integer number (538650000).

Almost surely, 2131932866520 is an apocalyptic number.

131932866520 is a gapful number since it is divisible by the number (10) 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 131932866520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206841600000).

131932866520 is an abundant number, since it is smaller than the sum of its proper divisors (281750333480).

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

131932866520 is a wasteful number, since it uses less digits than its factorization.

131932866520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 131932866520 in words is "one hundred thirty-one billion, nine hundred thirty-two million, eight hundred sixty-six thousand, five hundred twenty".