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75140214786 = 233713107142907
BaseRepresentation
bin100010111111010110…
…1001011000000000010
321011221122120101222000
41011332231023000002
52212341343333121
654304031324430
75300021200410
oct1057655130002
9234848511860
1075140214786
112995976856a
1212690380716
13711635a270
1438cb5762b0
151e4ba12526
hex117eb4b002

75140214786 has 128 divisors (see below), whose sum is σ = 207433820160. Its totient is φ = 19631854656.

The previous prime is 75140214769. The next prime is 75140214797. The reversal of 75140214786 is 68741204157.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 454345 + ... + 597251.

It is an arithmetic number, because the mean of its divisors is an integer number (1620576720).

Almost surely, 275140214786 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75140214786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103716910080).

75140214786 is an abundant number, since it is smaller than the sum of its proper divisors (132293605374).

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

75140214786 is a wasteful number, since it uses less digits than its factorization.

75140214786 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143045 (or 143039 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 75140214786 in words is "seventy-five billion, one hundred forty million, two hundred fourteen thousand, seven hundred eighty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 107 117 126 182 189 214 234 273 321 351 378 546 642 702 749 819 963 1391 1498 1638 1926 2247 2457 2782 2889 4173 4494 4914 5778 6741 8346 9737 12519 13482 19474 20223 25038 29211 37557 40446 58422 75114 87633 142907 175266 262899 285814 428721 525798 857442 1000349 1286163 1857791 2000698 2572326 3001047 3715582 3858489 5573373 6002094 7716978 9003141 11146746 13004537 15291049 16720119 18006282 26009074 27009423 30582098 33440238 39013611 45873147 50160357 54018846 78027222 91746294 100320714 107037343 117040833 137619441 198783637 214074686 234081666 275238882 321112029 351122499 397567274 412858323 596350911 642224058 702244998 825716646 963336087 1192701822 1391485459 1789052733 1926672174 2782970918 2890008261 3578105466 4174456377 5367158199 5780016522 8348912754 10734316398 12523369131 25046738262 37570107393 75140214786