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1010616229056 = 26376997107467
BaseRepresentation
bin11101011010011010110…
…10111101110011000000
310120121120120201201221210
432231031122331303000
5113024220223312211
62052134245050120
7133005004132110
oct16551532756300
93517516651853
101010616229056
1135a666572a15
12143a453b6940
13743ba844795
1436cb2379040
151b44d79a9a6
hexeb4d6bdcc0

1010616229056 has 112 divisors (see below), whose sum is σ = 3056376164096. Its totient is φ = 288703540224.

The previous prime is 1010616229019. The next prime is 1010616229121. The reversal of 1010616229056 is 6509226160101.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×10106162290562 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9350235 + ... + 9457701.

Almost surely, 21010616229056 is an apocalyptic number.

1010616229056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1010616229056 is an abundant number, since it is smaller than the sum of its proper divisors (2045759935040).

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

1010616229056 is a wasteful number, since it uses less digits than its factorization.

1010616229056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114486 (or 114476 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 1010616229056 in words is "one trillion, ten billion, six hundred sixteen million, two hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 6997 13994 20991 27988 41982 48979 55976 83964 97958 107467 111952 146937 167928 195916 214934 223904 293874 322401 335856 391832 429868 447808 587748 644802 671712 752269 783664 859736 1175496 1289604 1343424 1504538 1567328 1719472 2256807 2350992 2579208 3009076 3134656 3438944 4513614 4701984 5158416 6018152 6877888 9027228 9403968 10316832 12036304 18054456 20633664 24072608 36108912 48145216 72217824 144435648 751946599 1503893198 2255839797 3007786396 4511679594 5263626193 6015572792 9023359188 10527252386 12031145584 15790878579 18046718376 21054504772 24062291168 31581757158 36093436752 42109009544 48124582336 63163514316 72186873504 84218019088 126327028632 144373747008 168436038176 252654057264 336872076352 505308114528 1010616229056