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1010616060520 = 2351117228759077
BaseRepresentation
bin11101011010011010110…
…10010100101001101000
310120121120120102011202201
432231031122110221220
5113024220202414040
62052134241305544
7133005002530543
oct16551532245150
93517516364681
101010616060520
1135a666468330
12143a453352b4
13743ba7b5b61
1436cb233385a
151b44d765a9a
hexeb4d694a68

1010616060520 has 128 divisors (see below), whose sum is σ = 2627713820160. Its totient is φ = 345722204160.

The previous prime is 1010616060499. The next prime is 1010616060547. The reversal of 1010616060520 is 250606160101.

1010616060520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17077222 + ... + 17136298.

It is an arithmetic number, because the mean of its divisors is an integer number (20529014220).

Almost surely, 21010616060520 is an apocalyptic number.

1010616060520 is a gapful number since it is divisible by the number (10) 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 1010616060520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313856910080).

1010616060520 is an abundant number, since it is smaller than the sum of its proper divisors (1617097759640).

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

1010616060520 is a wasteful number, since it uses less digits than its factorization.

1010616060520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61403 (or 61399 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The spelling of 1010616060520 in words is "one trillion, ten billion, six hundred sixteen million, sixty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 2287 3740 4574 7480 9148 11435 18296 22870 25157 38879 45740 50314 59077 77758 91480 100628 118154 125785 155516 194395 201256 236308 251570 295385 311032 388790 427669 472616 503140 590770 649847 777580 855338 1004309 1006280 1181540 1299694 1555160 1710676 2008618 2138345 2363080 2599388 3249235 3421352 4017236 4276690 5021545 5198776 6498470 8034472 8553380 10043090 11047399 12996940 17106760 20086180 22094798 25993880 40172360 44189596 55236995 88379192 110473990 135109099 220947980 270218198 441895960 540436396 675545495 1080872792 1351090990 1486200089 2296854683 2702181980 2972400178 4593709366 5404363960 5944800356 7431000445 9187418732 11484273415 11889600712 14862000890 18374837464 22968546830 25265401513 29724001780 45937093660 50530803026 59448003560 91874187320 101061606052 126327007565 202123212104 252654015130 505308030260 1010616060520