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82671260040612 = 223237197315053353
BaseRepresentation
bin10010110011000001100111…
…000101100111110110100100
3101211201021222020220001201200
4102303001213011213312210
541313441220032244422
6451454352541522500
723261541614615025
oct2263014705476644
9354637866801650
1082671260040612
112438375906a771
1293322b1873430
133718b35555199
14165b44b7bcc4c
159857087e02ac
hex4b3067167da4

82671260040612 has 72 divisors (see below), whose sum is σ = 215711990630136. Its totient is φ = 26676197420544.

The previous prime is 82671260040583. The next prime is 82671260040631. The reversal of 82671260040612 is 21604006217628.

82671260040612 is a `hidden beast` number, since 8 + 2 + 6 + 7 + 1 + 26 + 0 + 0 + 4 + 0 + 612 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 77449961920356 + 5221298120256 = 8800566^2 + 2285016^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157264273 + ... + 157789080.

It is an arithmetic number, because the mean of its divisors is an integer number (2995999869863).

Almost surely, 282671260040612 is an apocalyptic number.

It is an amenable number.

82671260040612 is an abundant number, since it is smaller than the sum of its proper divisors (133040730589524).

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

82671260040612 is a wasteful number, since it uses less digits than its factorization.

82671260040612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315053597 (or 315053592 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 82671260040612 in words is "eighty-two trillion, six hundred seventy-one billion, two hundred sixty million, forty thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 197 222 333 394 444 591 666 788 1182 1332 1773 2364 3546 7092 7289 14578 21867 29156 43734 65601 87468 131202 262404 315053353 630106706 945160059 1260213412 1890320118 2835480177 3780640236 5670960354 11341920708 11656974061 23313948122 34970922183 46627896244 62065510541 69941844366 104912766549 124131021082 139883688732 186196531623 209825533098 248262042164 372393063246 419651066196 558589594869 744786126492 1117179189738 2234358379476 2296423890017 4592847780034 6889271670051 9185695560068 13778543340102 20667815010153 27557086680204 41335630020306 82671260040612