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131298386650272 = 25321932362161533
BaseRepresentation
bin11101110110101001001001…
…101100100010010010100000
3122012220000002022120002020100
4131312221021230202102200
5114202143043440302042
61143125351321542400
736440665264142502
oct3566511154422240
9565800068502210
10131298386650272
113892137335a936
1212886610044a00
1358355003513ca
14245cc39379d72
15102a58ba3424c
hex776a49b224a0

131298386650272 has 72 divisors (see below), whose sum is σ = 375314397491124. Its totient is φ = 43539361357824.

The previous prime is 131298386650271. The next prime is 131298386650303. The reversal of 131298386650272 is 272056683892131.

131298386650272 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 98 + 38 + 6 + 6 + 502 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 130712665825296 + 585720824976 = 11432964^2 + 765324^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (131298386650271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1181025183 + ... + 1181136350.

Almost surely, 2131298386650272 is an apocalyptic number.

131298386650272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131298386650272 is an abundant number, since it is smaller than the sum of its proper divisors (244016010840852).

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

131298386650272 is a wasteful number, since it uses less digits than its factorization.

131298386650272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362161742 (or 2362161731 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 131298386650272 in words is "one hundred thirty-one trillion, two hundred ninety-eight billion, three hundred eighty-six million, six hundred fifty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 193 288 386 579 772 1158 1544 1737 2316 3088 3474 4632 6176 6948 9264 13896 18528 27792 55584 2362161533 4724323066 7086484599 9448646132 14172969198 18897292264 21259453797 28345938396 37794584528 42518907594 56691876792 75589169056 85037815188 113383753584 170075630376 226767507168 340151260752 455897175869 680302521504 911794351738 1367691527607 1823588703476 2735383055214 3647177406952 4103074582821 5470766110428 7294354813904 8206149165642 10941532220856 14588709627808 16412298331284 21883064441712 32824596662568 43766128883424 65649193325136 131298386650272