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131659480485 = 3451325006549
BaseRepresentation
bin111101010011110000…
…1000011110110100101
3110120211120112120220000
41322213201003312211
54124114311333420
6140252235331513
712340434055611
oct1724741036645
9416746476800
10131659480485
1150922387405
12216245b0b99
13c552934c50
14652da44341
1536588b1690
hex1ea7843da5

131659480485 has 40 divisors (see below), whose sum is σ = 254166574200. Its totient is φ = 64816972416.

The previous prime is 131659480387. The next prime is 131659480489. The reversal of 131659480485 is 584084956131.

It is a happy number.

131659480485 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 594 + 8 + 0 + 48 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9976413924 + 121683066561 = 99882^2 + 348831^2 .

It is not a de Polignac number, because 131659480485 - 28 = 131659480229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131659480489) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12498010 + ... + 12508539.

It is an arithmetic number, because the mean of its divisors is an integer number (6354164355).

Almost surely, 2131659480485 is an apocalyptic number.

131659480485 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131659480485 is a deficient number, since it is larger than the sum of its proper divisors (122507093715).

131659480485 is a wasteful number, since it uses less digits than its factorization.

131659480485 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25006579 (or 25006570 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 131659480485 in words is "one hundred thirty-one billion, six hundred fifty-nine million, four hundred eighty thousand, four hundred eighty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 405 585 1053 1755 5265 25006549 75019647 125032745 225058941 325085137 375098235 675176823 975255411 1125294705 1625425685 2025530469 2925766233 3375884115 4876277055 8777298699 10127652345 14628831165 26331896097 43886493495 131659480485