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27084666420 = 22325741524287
BaseRepresentation
bin11001001110010111…
…110011011000110100
32120220120120121112100
4121032113303120310
5420432133311140
620235330222100
71646116603020
oct311627633064
976816517470
1027084666420
1110539651839
1252ba724930
1327283b5c46
14144d1a1380
15a87c0b530
hex64e5f3634

27084666420 has 144 divisors (see below), whose sum is σ = 96183779328. Its totient is φ = 6039774720.

The previous prime is 27084666403. The next prime is 27084666457. The reversal of 27084666420 is 2466648072.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 210484 + ... + 313803.

It is an arithmetic number, because the mean of its divisors is an integer number (667942912).

Almost surely, 227084666420 is an apocalyptic number.

27084666420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27084666420 is an abundant number, since it is smaller than the sum of its proper divisors (69099112908).

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

27084666420 is a wasteful number, since it uses less digits than its factorization.

27084666420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524350 (or 524345 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 27084666420 in words is "twenty-seven billion, eighty-four million, six hundred sixty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 41 42 45 60 63 70 82 84 90 105 123 126 140 164 180 205 210 246 252 287 315 369 410 420 492 574 615 630 738 820 861 1148 1230 1260 1435 1476 1722 1845 2460 2583 2870 3444 3690 4305 5166 5740 7380 8610 10332 12915 17220 25830 51660 524287 1048574 1572861 2097148 2621435 3145722 3670009 4718583 5242870 6291444 7340018 7864305 9437166 10485740 11010027 14680036 15728610 18350045 18874332 21495767 22020054 23592915 31457220 33030081 36700090 42991534 44040108 47185830 55050135 64487301 66060162 73400180 85983068 94371660 107478835 110100270 128974602 132120324 150470369 165150405 193461903 214957670 220200540 257949204 300940738 322436505 330300810 386923806 429915340 451411107 601881476 644873010 660601620 752351845 773847612 902822214 967309515 1289746020 1354233321 1504703690 1805644428 1934619030 2257055535 2708466642 3009407380 3869238060 4514111070 5416933284 6771166605 9028222140 13542333210 27084666420