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27434777020 = 22573747112687
BaseRepresentation
bin11001100011001111…
…010111100110111100
32121210222101001222121
4121203033113212330
5422141300331040
620334154252324
71660600520440
oct314317274674
977728331877
1027434777020
11106a9242042
125397a270a4
132782aaa591
14148389a820
15aa8817c4a
hex6633d79bc

27434777020 has 96 divisors (see below), whose sum is σ = 69062418432. Its totient is φ = 8957184768.

The previous prime is 27434777003. The next prime is 27434777047. The reversal of 27434777020 is 2077743472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187117 + ... + 299803.

It is an arithmetic number, because the mean of its divisors is an integer number (719400192).

Almost surely, 227434777020 is an apocalyptic number.

27434777020 is a gapful number since it is divisible by the number (20) 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 27434777020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34531209216).

27434777020 is an abundant number, since it is smaller than the sum of its proper divisors (41627641412).

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

27434777020 is a wasteful number, since it uses less digits than its factorization.

27434777020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112787 (or 112785 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 43.

The spelling of 27434777020 in words is "twenty-seven billion, four hundred thirty-four million, seven hundred seventy-seven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 47 70 74 94 140 148 185 188 235 259 329 370 470 518 658 740 940 1036 1295 1316 1645 1739 2590 3290 3478 5180 6580 6956 8695 12173 17390 24346 34780 48692 60865 112687 121730 225374 243460 450748 563435 788809 1126870 1577618 2253740 3155236 3944045 4169419 5296289 7888090 8338838 10592578 15776180 16677676 20847095 21185156 26481445 29185933 37074023 41694190 52962890 58371866 74148046 83388380 105925780 116743732 145929665 148296092 185370115 195962693 291859330 370740230 391925386 583718660 741480460 783850772 979813465 1371738851 1959626930 2743477702 3919253860 5486955404 6858694255 13717388510 27434777020