Search a number
-
+
11661442613360 = 2455316333750069
BaseRepresentation
bin1010100110110010010000…
…1001010000000001110000
31112021211012222121220001022
42221230210021100001300
53012030113302111420
640445105350155012
72312340263503031
oct251544411200160
945254188556038
1011661442613360
113796654384311
121384095652a68
1366789165a3c7
142c45b9b14a88
1515351a73ac25
hexa9b24250070

11661442613360 has 160 divisors (see below), whose sum is σ = 27876923530560. Its totient is φ = 4534901489664.

The previous prime is 11661442613347. The next prime is 11661442613369. The reversal of 11661442613360 is 6331624416611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11661442613369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232882406 + ... + 232932474.

It is an arithmetic number, because the mean of its divisors is an integer number (174230772066).

Almost surely, 211661442613360 is an apocalyptic number.

11661442613360 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 11661442613360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13938461765280).

11661442613360 is an abundant number, since it is smaller than the sum of its proper divisors (16215480917200).

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

11661442613360 is a wasteful number, since it uses less digits than its factorization.

11661442613360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50635 (or 50629 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 44.

The spelling of 11661442613360 in words is "eleven trillion, six hundred sixty-one billion, four hundred forty-two million, six hundred thirteen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 163 212 265 326 337 424 530 652 674 815 848 1060 1304 1348 1630 1685 2120 2608 2696 3260 3370 4240 5392 6520 6740 8639 13040 13480 17278 17861 26960 34556 35722 43195 50069 54931 69112 71444 86390 89305 100138 109862 138224 142888 172780 178610 200276 219724 250345 274655 285776 345560 357220 400552 439448 500690 549310 691120 714440 801104 878896 1001380 1098620 1428880 2002760 2197240 2653657 2911343 4005520 4394480 5307314 5822686 8161247 10614628 11645372 13268285 14556715 16322494 16873253 21229256 23290744 26536570 29113430 32644988 33746506 40806235 42458512 46581488 53073140 58226860 65289976 67493012 81612470 84366265 106146280 116453720 130579952 134986024 163224940 168732530 212292560 232907440 269972048 326449880 337465060 432546091 652899760 674930120 865092182 894282409 1349860240 1730184364 1788564818 2162730455 2750340239 3460368728 3577129636 4325460910 4471412045 5500680478 6920737456 7154259272 8650921820 8942824090 11001360956 13751701195 14308518544 17301843640 17885648180 22002721912 27503402390 34603687280 35771296360 44005443824 55006804780 71542592720 110013609560 145768032667 220027219120 291536065334 583072130668 728840163335 1166144261336 1457680326670 2332288522672 2915360653340 5830721306680 11661442613360