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27530029980 = 2233558786851
BaseRepresentation
bin11001101000111010…
…101110101110011100
32122001121121102111000
4121220322232232130
5422340141424410
620351440030300
71663135252035
oct315072565634
978047542430
1027530029980
1110747a90aa2
125403902390
13279974b48b
1414923b3a8c
15ab1d80dc0
hex668eaeb9c

27530029980 has 96 divisors (see below), whose sum is σ = 85795879680. Its totient is φ = 7328750400.

The previous prime is 27530029979. The next prime is 27530030009. The reversal of 27530029980 is 8992003572.

27530029980 is a `hidden beast` number, since 2 + 7 + 530 + 0 + 29 + 98 + 0 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273555 + ... + 360405.

It is an arithmetic number, because the mean of its divisors is an integer number (893707080).

Almost surely, 227530029980 is an apocalyptic number.

27530029980 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 27530029980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42897939840).

27530029980 is an abundant number, since it is smaller than the sum of its proper divisors (58265849700).

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

27530029980 is a wasteful number, since it uses less digits than its factorization.

27530029980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87456 (or 87448 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

It can be divided in two parts, 27530029 and 980, that added together give a square (27531009 = 52472).

The spelling of 27530029980 in words is "twenty-seven billion, five hundred thirty million, twenty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 587 1174 1761 2348 2935 3522 5283 5870 7044 8805 10566 11740 15849 17610 21132 26415 31698 35220 52830 63396 79245 86851 105660 158490 173702 260553 316980 347404 434255 521106 781659 868510 1042212 1302765 1563318 1737020 2344977 2605530 3126636 3908295 4689954 5211060 7816590 9379908 11724885 15633180 23449770 46899540 50981537 101963074 152944611 203926148 254907685 305889222 458833833 509815370 611778444 764723055 917667666 1019630740 1376501499 1529446110 1835335332 2294169165 2753002998 3058892220 4588338330 5506005996 6882507495 9176676660 13765014990 27530029980