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27102636420 = 223511319120929
BaseRepresentation
bin11001001111011100…
…010110100110000100
32120221211101120201220
4121033130112212010
5421001233331140
620241211320340
71646425415466
oct311734264604
976854346656
1027102636420
1110548805982
1253047500b0
13272c038392
14145171c136
15a895aabd0
hex64f716984

27102636420 has 96 divisors (see below), whose sum is σ = 76963461120. Its totient is φ = 7125565440.

The previous prime is 27102636389. The next prime is 27102636437. The reversal of 27102636420 is 2463620172.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1284516 + ... + 1305444.

It is an arithmetic number, because the mean of its divisors is an integer number (801702720).

Almost surely, 227102636420 is an apocalyptic number.

27102636420 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 27102636420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38481730560).

27102636420 is an abundant number, since it is smaller than the sum of its proper divisors (49860824700).

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

27102636420 is a wasteful number, since it uses less digits than its factorization.

27102636420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21245 (or 21243 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 27102636420 in words is "twenty-seven billion, one hundred two million, six hundred thirty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 191 226 339 382 452 565 573 678 764 955 1130 1146 1356 1695 1910 2260 2292 2865 3390 3820 5730 6780 11460 20929 21583 41858 43166 62787 64749 83716 86332 104645 107915 125574 129498 209290 215830 251148 258996 313935 323745 418580 431660 627870 647490 1255740 1294980 2364977 3997439 4729954 7094931 7994878 9459908 11824885 11992317 14189862 15989756 19987195 23649770 23984634 28379724 35474655 39974390 47299540 47969268 59961585 70949310 79948780 119923170 141898620 239846340 451710607 903421214 1355131821 1806842428 2258553035 2710263642 4517106070 5420527284 6775659105 9034212140 13551318210 27102636420