Search a number
-
+
131986378475 = 52725710132897
BaseRepresentation
bin111101011101100000…
…0000100111011101011
3110121200100122201121222
41322323000010323223
54130302003102400
6140344514052255
712351513464150
oct1727300047353
9417610581558
10131986378475
1150a7a962736
12216b5b7a08b
13c5a558cb03
14656121a227
153677435185
hex1ebb004eeb

131986378475 has 48 divisors (see below), whose sum is σ = 188021590848. Its totient is φ = 90032701440.

The previous prime is 131986378463. The next prime is 131986378541. The reversal of 131986378475 is 574873689131.

It is a happy number.

It is not a de Polignac number, because 131986378475 - 26 = 131986378411 is a prime.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45558227 + ... + 45561123.

It is an arithmetic number, because the mean of its divisors is an integer number (3917116476).

Almost surely, 2131986378475 is an apocalyptic number.

131986378475 is a deficient number, since it is larger than the sum of its proper divisors (56035212373).

131986378475 is a wasteful number, since it uses less digits than its factorization.

131986378475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4184 (or 4179 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 62.

The spelling of 131986378475 in words is "one hundred thirty-one billion, nine hundred eighty-six million, three hundred seventy-eight thousand, four hundred seventy-five".

Divisors: 1 5 7 25 35 175 257 1013 1285 1799 2897 5065 6425 7091 8995 14485 20279 25325 35455 44975 72425 101395 177275 260341 506975 744529 1301705 1822387 2934661 3722645 5211703 6508525 9111935 14673305 18613225 20542627 26058515 45559675 73366525 102713135 130292575 513565675 754207877 3771039385 5279455139 18855196925 26397275695 131986378475