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71127623340 = 22335131717821
BaseRepresentation
bin100001000111110001…
…0010110011010101100
320210121000011122022000
41002033202112122230
52131132132421330
652401531452300
75065415552154
oct1021742263254
9223530148260
1071127623340
112818a764194
12119505b7090
136926c4a5b7
14362a6a5764
151cb4601560
hex108f8966ac

71127623340 has 48 divisors (see below), whose sum is σ = 221285940960. Its totient is φ = 18967366080.

The previous prime is 71127623323. The next prime is 71127623381. The reversal of 71127623340 is 4332672117.

71127623340 is a `hidden beast` number, since 7 + 1 + 1 + 27 + 623 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 71127623295 and 71127623304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65858371 + ... + 65859450.

It is an arithmetic number, because the mean of its divisors is an integer number (4610123770).

Almost surely, 271127623340 is an apocalyptic number.

It is an amenable number.

71127623340 is an abundant number, since it is smaller than the sum of its proper divisors (150158317620).

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

71127623340 is a wasteful number, since it uses less digits than its factorization.

71127623340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131717839 (or 131717831 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 71127623340 in words is "seventy-one billion, one hundred twenty-seven million, six hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 131717821 263435642 395153463 526871284 658589105 790306926 1185460389 1317178210 1580613852 1975767315 2370920778 2634356420 3556381167 3951534630 4741841556 5927301945 7112762334 7903069260 11854603890 14225524668 17781905835 23709207780 35563811670 71127623340