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561111060060 = 2232543241300809
BaseRepresentation
bin10000010101001001101…
…00110100111001011100
31222122022210110012212100
420022210310310321130
533143123412410220
61105434301205100
755352566213245
oct10124464647134
91878283405770
10561111060060
111a6a69624411
12908b6b60790
1340bb2b2bb45
141d22d493ccc
15e8e0ba3d90
hex82a4d34e5c

561111060060 has 144 divisors (see below), whose sum is σ = 1748851584480. Its totient is φ = 145542942720.

The previous prime is 561111060001. The next prime is 561111060061. The reversal of 561111060060 is 60060111165.

561111060060 is a `hidden beast` number, since 56 + 1 + 1 + 1 + 1 + 0 + 600 + 6 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561111060061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1714936 + ... + 2015744.

It is an arithmetic number, because the mean of its divisors is an integer number (12144802670).

Almost surely, 2561111060060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561111060060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874425792240).

561111060060 is an abundant number, since it is smaller than the sum of its proper divisors (1187740524420).

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

561111060060 is a wasteful number, since it uses less digits than its factorization.

561111060060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301108 (or 301103 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 561111060060 in words is "five hundred sixty-one billion, one hundred eleven million, sixty thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 241 258 387 430 482 516 645 723 774 860 964 1205 1290 1446 1548 1935 2169 2410 2580 2892 3615 3870 4338 4820 7230 7740 8676 10363 10845 14460 20726 21690 31089 41452 43380 51815 62178 93267 103630 124356 155445 186534 207260 300809 310890 373068 466335 601618 621780 902427 932670 1203236 1504045 1804854 1865340 2707281 3008090 3609708 4512135 5414562 6016180 9024270 10829124 12934787 13536405 18048540 25869574 27072810 38804361 51739148 54145620 64673935 72494969 77608722 116413083 129347870 144989938 155217444 194021805 217484907 232826166 258695740 289979876 362474845 388043610 434969814 465652332 582065415 652454721 724949690 776087220 869939628 1087424535 1164130830 1304909442 1449899380 2174849070 2328261660 2609818884 3117283667 3262273605 4349698140 6234567334 6524547210 9351851001 12469134668 13049094420 15586418335 18703702002 28055553003 31172836670 37407404004 46759255005 56111106006 62345673340 93518510010 112222212012 140277765015 187037020020 280555530030 561111060060