Search a number
-
+
1060565655560 = 235891816192659
BaseRepresentation
bin11110110111011101010…
…00111010000000001000
310202101111122101111210012
433123232220322000020
5114334014301434220
62131114522411052
7136423543221215
oct17335650720010
93671448344705
101060565655560
11379868733394
12151665360a88
137901ac88058
14394900a2b0c
151c8c39a0ac5
hexf6eea3a008

1060565655560 has 128 divisors (see below), whose sum is σ = 2431250640000. Its totient is φ = 416311695360.

The previous prime is 1060565655503. The next prime is 1060565655619. The reversal of 1060565655560 is 655565650601.

It is a super-2 number, since 2×10605656555602 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1060565655499 and 1060565655508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 398857511 + ... + 398860169.

It is an arithmetic number, because the mean of its divisors is an integer number (18994145625).

Almost surely, 21060565655560 is an apocalyptic number.

1060565655560 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 1060565655560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215625320000).

1060565655560 is an abundant number, since it is smaller than the sum of its proper divisors (1370684984440).

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

1060565655560 is a wasteful number, since it uses less digits than its factorization.

1060565655560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3559 (or 3555 counting only the distinct ones).

The product of its (nonzero) digits is 4050000, while the sum is 50.

The spelling of 1060565655560 in words is "one trillion, sixty billion, five hundred sixty-five million, six hundred fifty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 89 178 181 356 362 445 619 712 724 890 905 1238 1448 1780 1810 2476 2659 3095 3560 3620 4952 5318 6190 7240 10636 12380 13295 16109 21272 24760 26590 32218 53180 55091 64436 80545 106360 110182 112039 128872 161090 220364 224078 236651 275455 322180 440728 448156 473302 481279 550910 560195 644360 896312 946604 962558 1101820 1120390 1183255 1645921 1893208 1925116 2203640 2240780 2366510 2406395 3291842 3850232 4481560 4733020 4812790 6583684 8229605 9466040 9625580 9971471 13167368 16459210 19251160 19942942 32918420 39885884 42833831 49857355 65836840 79771768 85667662 99714710 146486969 171335324 199429420 214169155 292973938 297911701 342670648 398858840 428338310 585947876 595823402 732434845 856676620 1171895752 1191646804 1464869690 1489558505 1713353240 2383293608 2929739380 2979117010 5859478760 5958234020 11916468040 26514141389 53028282778 106056565556 132570706945 212113131112 265141413890 530282827780 1060565655560