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27930353080 = 23571272333371
BaseRepresentation
bin11010000000110001…
…110101110110111000
32200002111212221112111
4122000301311312320
5424200132244310
620455300222104
72006066040550
oct320061656670
980074787474
1027930353080
1110932a57733
1254b599a934
132831673b56
1414cd620160
15ad70aa28a
hex680c75db8

27930353080 has 128 divisors (see below), whose sum is σ = 72718663680. Its totient is φ = 9457136640.

The previous prime is 27930353053. The next prime is 27930353089. The reversal of 27930353080 is 8035303972.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27930353089) by changing a digit.

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, 8283795 + ... + 8287165.

It is an arithmetic number, because the mean of its divisors is an integer number (568114560).

Almost surely, 227930353080 is an apocalyptic number.

27930353080 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 27930353080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36359331840).

27930353080 is an abundant number, since it is smaller than the sum of its proper divisors (44788310600).

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

27930353080 is a wasteful number, since it uses less digits than its factorization.

27930353080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3749 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The spelling of 27930353080 in words is "twenty-seven billion, nine hundred thirty million, three hundred fifty-three thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 127 140 233 254 280 466 508 635 889 932 1016 1165 1270 1631 1778 1864 2330 2540 3262 3371 3556 4445 4660 5080 6524 6742 7112 8155 8890 9320 13048 13484 16310 16855 17780 23597 26968 29591 32620 33710 35560 47194 59182 65240 67420 94388 117985 118364 134840 147955 188776 207137 235970 236728 295910 414274 428117 471940 591820 785443 828548 856234 943880 1035685 1183640 1570886 1657096 1712468 2071370 2140585 2996819 3141772 3424936 3927215 4142740 4281170 5498101 5993638 6283544 7854430 8285480 8562340 10996202 11987276 14984095 15708860 17124680 21992404 23974552 27490505 29968190 31417720 43984808 54981010 59936380 99751261 109962020 119872760 199502522 219924040 399005044 498756305 698258827 798010088 997512610 1396517654 1995025220 2793035308 3491294135 3990050440 5586070616 6982588270 13965176540 27930353080