Search a number
-
+
128057768856570 = 235717312892734561
BaseRepresentation
bin11101000111011111000101…
…110100101100101111111010
3121210102012111002110102011010
4131013133011310230233322
5113241044302311402240
61132204532112014350
735654603614321650
oct3507370564545772
9553365432412133
10128057768856570
1137891aa4073413
12124425538313b6
13565ba464640a7
14238a059b38dd0
15ec1122eee280
hex7477c5d2cbfa

128057768856570 has 128 divisors (see below), whose sum is σ = 353548677035520. Its totient is φ = 29078567239680.

The previous prime is 128057768856541. The next prime is 128057768856617. The reversal of 128057768856570 is 75658867750821.

It is a junction number, because it is equal to n+sod(n) for n = 128057768856492 and 128057768856501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45462090 + ... + 48196650.

It is an arithmetic number, because the mean of its divisors is an integer number (2762099039340).

Almost surely, 2128057768856570 is an apocalyptic number.

128057768856570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 128057768856570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176774338517760).

128057768856570 is an abundant number, since it is smaller than the sum of its proper divisors (225490908178950).

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

128057768856570 is a wasteful number, since it uses less digits than its factorization.

128057768856570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736040.

The product of its (nonzero) digits is 1580544000, while the sum is 75.

The spelling of 128057768856570 in words is "one hundred twenty-eight trillion, fifty-seven billion, seven hundred sixty-eight million, eight hundred fifty-six thousand, five hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 173 210 346 519 865 1038 1211 1289 1730 2422 2578 2595 3633 3867 5190 6055 6445 7266 7734 9023 12110 12890 18046 18165 19335 27069 36330 38670 45115 54138 90230 135345 222997 270690 445994 668991 1114985 1337982 1560979 2229970 2734561 3121958 3344955 4682937 5469122 6689910 7804895 8203683 9365874 13672805 15609790 16407366 19141927 23414685 27345610 38283854 41018415 46829370 57425781 82036830 95709635 114851562 191419270 287128905 473079053 574257810 946158106 1419237159 2365395265 2838474318 3311553371 3524849129 4730790530 6623106742 7049698258 7096185795 9934660113 10574547387 14192371590 16557766855 17624245645 19869320226 21149094774 24673943903 33115533710 35248491290 49347887806 49673300565 52872736935 74021831709 99346601130 105745473870 123369719515 148043663418 246739439030 370109158545 609798899317 740218317090 1219597798634 1829396697951 3048994496585 3658793395902 4268592295219 6097988993170 8537184590438 9146983489755 12805776885657 18293966979510 21342961476095 25611553771314 42685922952190 64028884428285 128057768856570