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131438888560 = 24571973197859
BaseRepresentation
bin111101001101001011…
…1100100011001110000
3110120021012110100122201
41322122113210121300
54123141323413220
6140214315312544
712332115055510
oct1723227443160
9416235410581
10131438888560
115081990a431
122158274b754
13c51901ac95
14650c621840
15364433ad0a
hex1e9a5e4670

131438888560 has 320 divisors, whose sum is σ = 374997427200. Its totient is φ = 41845579776.

The previous prime is 131438888549. The next prime is 131438888573. The reversal of 131438888560 is 65888834131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153013411 + ... + 153014269.

It is an arithmetic number, because the mean of its divisors is an integer number (1171866960).

Almost surely, 2131438888560 is an apocalyptic number.

131438888560 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 131438888560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187498713600).

131438888560 is an abundant number, since it is smaller than the sum of its proper divisors (243558538640).

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

131438888560 is a wasteful number, since it uses less digits than its factorization.

131438888560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 55.

The spelling of 131438888560 in words is "one hundred thirty-one billion, four hundred thirty-eight million, eight hundred eighty-eight thousand, five hundred sixty".