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1059920079168 = 263411033130343
BaseRepresentation
bin11110110110010000010…
…10001110100101000000
310202022211122121211110110
433123020022032211000
5114331204020013133
62130530501431320
7136401544010256
oct17331012164500
93668748554413
101059920079168
11379567286285
1215150510b540
1378c472c26a2
143942c4545d6
151c886e7dc63
hexf6c828e940

1059920079168 has 112 divisors (see below), whose sum is σ = 2875574249856. Its totient is φ = 344353136640.

The previous prime is 1059920079157. The next prime is 1059920079173. The reversal of 1059920079168 is 8619700299501.

It is a super-2 number, since 2×10599200791682 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8066605 + ... + 8196947.

It is an arithmetic number, because the mean of its divisors is an integer number (25674770088).

Almost surely, 21059920079168 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 1059920079168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437787124928).

1059920079168 is an abundant number, since it is smaller than the sum of its proper divisors (1815654170688).

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

1059920079168 is a wasteful number, since it uses less digits than its factorization.

1059920079168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131432 (or 131422 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 57.

The spelling of 1059920079168 in words is "one trillion, fifty-nine billion, nine hundred twenty million, seventy-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1033 1312 1968 2066 2624 3099 3936 4132 6198 7872 8264 12396 16528 24792 33056 42353 49584 66112 84706 99168 127059 130343 169412 198336 254118 260686 338824 391029 508236 521372 677648 782058 1016472 1042744 1355296 1564116 2032944 2085488 2710592 3128232 4065888 4170976 5344063 6256464 8131776 8341952 10688126 12512928 16032189 21376252 25025856 32064378 42752504 64128756 85505008 128257512 134644319 171010016 256515024 269288638 342020032 403932957 513030048 538577276 807865914 1026060096 1077154552 1615731828 2154309104 3231463656 4308618208 5520417079 6462927312 8617236416 11040834158 12925854624 16561251237 22081668316 25851709248 33122502474 44163336632 66245004948 88326673264 132490009896 176653346528 264980019792 353306693056 529960039584 1059920079168