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71195745712 = 247131372411481
BaseRepresentation
bin100001001001110011…
…0001101110110110000
320210202202100121121211
41002103212031312300
52131302102330322
652412403525504
75100203565520
oct1022346156660
9223682317554
1071195745712
1128215162573
121196b389894
1369380ac5b0
143635759680
151cba5aab77
hex109398ddb0

71195745712 has 160 divisors (see below), whose sum is σ = 171839251584. Its totient is φ = 27824947200.

The previous prime is 71195745703. The next prime is 71195745713. The reversal of 71195745712 is 21754759117.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (71195745713) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 48072012 + ... + 48073492.

Almost surely, 271195745712 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 71195745712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85919625792).

71195745712 is an abundant number, since it is smaller than the sum of its proper divisors (100643505872).

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

71195745712 is a wasteful number, since it uses less digits than its factorization.

71195745712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1881 counting only the distinct ones).

The product of its digits is 617400, while the sum is 49.

The spelling of 71195745712 in words is "seventy-one billion, one hundred ninety-five million, seven hundred forty-five thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 137 182 208 241 274 364 482 548 728 959 964 1096 1456 1481 1687 1781 1918 1928 2192 2962 3133 3374 3562 3836 3856 5924 6266 6748 7124 7672 10367 11848 12467 12532 13496 14248 15344 19253 20734 21931 23696 24934 25064 26992 28496 33017 38506 41468 43862 49868 50128 66034 77012 82936 87724 99736 132068 134771 154024 165872 175448 199472 202897 231119 264136 269542 308048 350896 356921 405794 429221 462238 528272 539084 713842 811588 858442 924476 1078168 1420279 1427684 1623176 1716884 1848952 2156336 2498447 2637661 2840558 2855368 3004547 3246352 3433768 3697904 4639973 4996894 5275322 5681116 5710736 6009094 6867536 9279946 9993788 10550644 11362232 12018188 18463627 18559892 19987576 21101288 22724464 24036376 32479811 36927254 37119784 39975152 42202576 48072752 48898177 64959622 73854508 74239568 97796354 129919244 147709016 195592708 259838488 295418032 342287239 391185416 519676976 635676301 684574478 782370832 1271352602 1369148956 2542705204 2738297912 4449734107 5085410408 5476595824 8899468214 10170820816 17798936428 35597872856 71195745712