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68157434622312 = 23347171228171971
BaseRepresentation
bin11110111111101001000111…
…01011011111000101101000
322221022210020210210101020000
433133310203223133011220
532413142411230403222
6400543032044503000
720233132524236640
oct1737644353370550
9287283223711200
1068157434622312
111a798450a90252
12778944ab4aa60
132c052ac09c1a9
1412b8ba1cdb520
157d2de81639ac
hex3dfd23adf168

68157434622312 has 320 divisors, whose sum is σ = 231031812781440. Its totient is φ = 18326302617600.

The previous prime is 68157434622283. The next prime is 68157434622337. The reversal of 68157434622312 is 21322643475186.

68157434622312 is a `hidden beast` number, since 6 + 8 + 1 + 5 + 7 + 4 + 3 + 4 + 622 + 3 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 946976487 + ... + 947048457.

It is an arithmetic number, because the mean of its divisors is an integer number (721974414942).

Almost surely, 268157434622312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68157434622312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115515906390720).

68157434622312 is an abundant number, since it is smaller than the sum of its proper divisors (162874378159128).

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

68157434622312 is a wasteful number, since it uses less digits than its factorization.

68157434622312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84294 (or 84281 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 68157434622312 in words is "sixty-eight trillion, one hundred fifty-seven billion, four hundred thirty-four million, six hundred twenty-two thousand, three hundred twelve".