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76601235141 = 343089306149
BaseRepresentation
bin100011101010111001…
…0100001011011000101
321022201110201221010000
41013111302201123011
52223334404011031
655105022151513
75351151520104
oct1072562413305
9238643657100
1076601235141
112a539444802
1212a19722599
1372b9c52252
1439c961003b
151ed4e0c3e6
hex11d5ca16c5

76601235141 has 20 divisors (see below), whose sum is σ = 114466423500. Its totient is φ = 51050791296.

The previous prime is 76601235131. The next prime is 76601235157. The reversal of 76601235141 is 14153210667.

76601235141 is a `hidden beast` number, since 7 + 6 + 601 + 2 + 3 + 5 + 1 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50196610116 + 26404625025 = 224046^2 + 162495^2 .

It is not a de Polignac number, because 76601235141 - 210 = 76601234117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 76601235096 and 76601235105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76601235131) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 97135 + ... + 403283.

It is an arithmetic number, because the mean of its divisors is an integer number (5723321175).

Almost surely, 276601235141 is an apocalyptic number.

It is an amenable number.

76601235141 is a deficient number, since it is larger than the sum of its proper divisors (37865188359).

76601235141 is a wasteful number, since it uses less digits than its factorization.

76601235141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309250 (or 309241 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 76601235141 in words is "seventy-six billion, six hundred one million, two hundred thirty-five thousand, one hundred forty-one".

Divisors: 1 3 9 27 81 3089 9267 27801 83403 250209 306149 918447 2755341 8266023 24798069 945694261 2837082783 8511248349 25533745047 76601235141