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1052062710012 = 2233109461193861
BaseRepresentation
bin11110100111100111101…
…00101111100011111100
310201120120001121010022000
433103303310233203330
5114214111023210022
62123151055022300
7136003044325416
oct17236364574374
93646501533260
101052062710012
113761a4a77566
1214ba9180a990
137829449b222
1438cc4ab79b6
151c5772596ac
hexf4f3d2f8fc

1052062710012 has 96 divisors (see below), whose sum is σ = 2758578715200. Its totient is φ = 346714732800.

The previous prime is 1052062709941. The next prime is 1052062710019. The reversal of 1052062710012 is 2100172602501.

1052062710012 is a `hidden beast` number, since 1 + 0 + 5 + 20 + 627 + 1 + 0 + 0 + 12 = 666.

It is a super-2 number, since 2×10520627100122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052062710019) 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, 5329962 + ... + 5523822.

It is an arithmetic number, because the mean of its divisors is an integer number (28735194950).

Almost surely, 21052062710012 is an apocalyptic number.

1052062710012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052062710012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379289357600).

1052062710012 is an abundant number, since it is smaller than the sum of its proper divisors (1706516005188).

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

1052062710012 is a wasteful number, since it uses less digits than its factorization.

1052062710012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194444 (or 194436 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 1052062710012 in words is "one trillion, fifty-two billion, sixty-two million, seven hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 109 218 327 436 461 654 922 981 1308 1383 1844 1962 2766 2943 3924 4149 5532 5886 8298 11772 12447 16596 24894 49788 50249 100498 150747 193861 200996 301494 387722 452241 581583 602988 775444 904482 1163166 1356723 1744749 1808964 2326332 2713446 3489498 5234247 5426892 6978996 10468494 20936988 21130849 42261698 63392547 84523396 89369921 126785094 178739842 190177641 253570188 268109763 357479684 380355282 536219526 570532923 760710564 804329289 1072439052 1141065846 1608658578 2282131692 2412987867 3217317156 4825975734 9651951468 9741321389 19482642778 29223964167 38965285556 58447928334 87671892501 116895856668 175343785002 263015677503 350687570004 526031355006 1052062710012