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131746783827321 = 3413261731559093
BaseRepresentation
bin11101111101001010110000…
…010000000001010101111001
3122021110212110212221210010000
4131331022300100001111321
5114232014403124433241
61144111345325343213
736515251056231165
oct3575126020012571
9567425425853100
10131746783827321
1138a84551925713
12129394ab407b09
13586888c648800
142476815041ca5
151037082216eb6
hex77d2b0401579

131746783827321 has 60 divisors (see below), whose sum is σ = 213145115860908. Its totient is φ = 81061758101376.

The previous prime is 131746783827313. The next prime is 131746783827361. The reversal of 131746783827321 is 123728387647131.

It is a happy number.

131746783827321 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 467 + 8 + 3 + 82 + 73 + 21 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 57320964665721 + 74425819161600 = 7571061^2 + 8627040^2 .

It is not a de Polignac number, because 131746783827321 - 23 = 131746783827313 is a prime.

It is a super-2 number, since 2×1317467838273212 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131746783827361) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 83722651 + ... + 85281743.

Almost surely, 2131746783827321 is an apocalyptic number.

It is an amenable number.

131746783827321 is a deficient number, since it is larger than the sum of its proper divisors (81398332033587).

131746783827321 is a wasteful number, since it uses less digits than its factorization.

131746783827321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565304 (or 1565282 counting only the distinct ones).

The product of its digits is 56899584, while the sum is 63.

The spelling of 131746783827321 in words is "one hundred thirty-one trillion, seven hundred forty-six billion, seven hundred eighty-three million, eight hundred twenty-seven thousand, three hundred twenty-one".

Divisors: 1 3 9 13 27 39 81 117 169 351 507 1053 1521 4563 6173 13689 18519 55557 80249 166671 240747 500013 722241 1043237 1559093 2166723 3129711 4677279 6500169 9389133 14031837 20268209 28167399 42095511 60804627 84502197 126286533 182413881 263486717 547241643 790460151 1641724929 2371380453 7114141359 9624281089 21342424077 28872843267 86618529801 125115654157 259855589403 375346962471 779566768209 1126040887413 1626503504041 3378122662239 4879510512123 10134367986717 14638531536369 43915594609107 131746783827321