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71112274000 = 2453231679257
BaseRepresentation
bin100001000111010011…
…1110011000001010000
320210112221021210221221
41002032213303001100
52131114220232000
652400222454424
75065141232665
oct1021647630120
9223487253857
1071112274000
112818202aa89
1211947434414
136923a04c51
14362862ba6c
151cb30bd61a
hex108e9f3050

71112274000 has 160 divisors (see below), whose sum is σ = 180519446016. Its totient is φ = 27042329600.

The previous prime is 71112273971. The next prime is 71112274001. The reversal of 71112274000 is 47221117.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71112274001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7677372 + ... + 7686628.

Almost surely, 271112274000 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 71112274000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90259723008).

71112274000 is an abundant number, since it is smaller than the sum of its proper divisors (109407172016).

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

71112274000 is a wasteful number, since it uses less digits than its factorization.

71112274000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9470 (or 9454 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 25.

Adding to 71112274000 its reverse (47221117), we get a palindrome (71159495117).

The spelling of 71112274000 in words is "seventy-one billion, one hundred twelve million, two hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 167 184 200 230 250 334 368 400 460 500 575 668 835 920 1000 1150 1336 1670 1840 2000 2300 2672 2875 3340 3841 4175 4600 5750 6680 7682 8350 9200 9257 11500 13360 15364 16700 18514 19205 20875 23000 30728 33400 37028 38410 41750 46000 46285 61456 66800 74056 76820 83500 92570 96025 148112 153640 167000 185140 192050 212911 231425 307280 334000 370280 384100 425822 462850 480125 740560 768200 851644 925700 960250 1064555 1157125 1536400 1545919 1703288 1851400 1920500 2129110 2314250 3091838 3406576 3702800 3841000 4258220 4628500 5322775 6183676 7682000 7729595 8516440 9257000 10645550 12367352 15459190 17032880 18514000 21291100 24734704 26613875 30918380 35556137 38647975 42582200 53227750 61836760 71112274 77295950 85164400 106455500 123673520 142224548 154591900 177780685 193239875 212911000 284449096 309183800 355561370 386479750 425822000 568898192 618367600 711122740 772959500 888903425 1422245480 1545919000 1777806850 2844490960 3091838000 3555613700 4444517125 7111227400 8889034250 14222454800 17778068500 35556137000 71112274000