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27187008680 = 23513319717387
BaseRepresentation
bin11001010100011110…
…001101010010101000
32121011201011010201102
4121110132031102220
5421134333234210
620253423540532
71651501521656
oct312436152250
977151133642
1027187008680
11105913a3017
125328a5a748
1327436698b0
14145ca01dd6
15a91bc4ea5
hex65478d4a8

27187008680 has 128 divisors (see below), whose sum is σ = 68706247680. Its totient is φ = 9613762560.

The previous prime is 27187008679. The next prime is 27187008689. The reversal of 27187008680 is 8680078172.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (27187008689) 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, 1554947 + ... + 1572333.

It is an arithmetic number, because the mean of its divisors is an integer number (536767560).

Almost surely, 227187008680 is an apocalyptic number.

27187008680 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 27187008680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34353123840).

27187008680 is an abundant number, since it is smaller than the sum of its proper divisors (41519239000).

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

27187008680 is a wasteful number, since it uses less digits than its factorization.

27187008680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17539 (or 17535 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 47.

The spelling of 27187008680 in words is "twenty-seven billion, one hundred eighty-seven million, eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 97 104 124 130 155 194 248 260 310 388 403 485 520 620 776 806 970 1240 1261 1612 1940 2015 2522 3007 3224 3880 4030 5044 6014 6305 8060 10088 12028 12610 15035 16120 17387 24056 25220 30070 34774 39091 50440 60140 69548 78182 86935 120280 139096 156364 173870 195455 226031 312728 347740 390910 452062 538997 695480 781820 904124 1077994 1130155 1563640 1686539 1808248 2155988 2260310 2694985 3373078 4311976 4520620 5389970 6746156 7006961 8432695 9041240 10779940 13492312 14013922 16865390 21559880 21925007 28027844 33730780 35034805 43850014 52282709 56055688 67461560 70069610 87700028 104565418 109625035 140139220 175400056 209130836 219250070 261413545 280278440 418261672 438500140 522827090 679675217 877000280 1045654180 1359350434 2091308360 2718700868 3398376085 5437401736 6796752170 13593504340 27187008680