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70509127338 = 232131919382171
BaseRepresentation
bin100000110101010101…
…0111110011010101010
320201222220100210021200
41001222222332122222
52123400314033323
652220315145030
75044165456626
oct1015252763252
9221886323250
1070509127338
11279a2622a71
12117b9445176
136858a77030
1435ac4a6186
151c7a17d443
hex106aabe6aa

70509127338 has 96 divisors (see below), whose sum is σ = 174079738560. Its totient is φ = 20446525440.

The previous prime is 70509127327. The next prime is 70509127379. The reversal of 70509127338 is 83372190507.

It is a happy number.

70509127338 is a `hidden beast` number, since 70 + 509 + 1 + 2 + 73 + 3 + 8 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 70509127293 and 70509127302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 816993 + ... + 899163.

It is an arithmetic number, because the mean of its divisors is an integer number (1813330610).

Almost surely, 270509127338 is an apocalyptic number.

70509127338 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 70509127338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87039869280).

70509127338 is an abundant number, since it is smaller than the sum of its proper divisors (103570611222).

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

70509127338 is a wasteful number, since it uses less digits than its factorization.

70509127338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82404 (or 82401 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 70509127338 in words is "seventy billion, five hundred nine million, one hundred twenty-seven thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 193 234 247 342 386 494 579 741 1158 1482 1737 2223 2509 3474 3667 4446 5018 7334 7527 11001 15054 22002 22581 33003 45162 47671 66006 82171 95342 143013 164342 246513 286026 429039 493026 739539 858078 1068223 1479078 1561249 2136446 3122498 3204669 4683747 6409338 9367494 9614007 14051241 15859003 19228014 20296237 28102482 31718006 40592474 47577009 60888711 95154018 121777422 142731027 182666133 206167039 285462054 301321057 365332266 412334078 602642114 618501117 903963171 1237002234 1807926342 1855503351 2711889513 3711006702 3917173741 5423779026 7834347482 11751521223 23503042446 35254563669 70509127338