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20102771360 = 255727273527
BaseRepresentation
bin10010101110001101…
…111111001010100000
31220212222220121001102
4102232031333022200
5312132302140420
613122440053532
71311110510600
oct225615771240
956788817042
1020102771360
118586543731
123a904642a8
131b84a7b9a9
14d89bd8c00
157c9cbba75
hex4ae37f2a0

20102771360 has 144 divisors (see below), whose sum is σ = 55338401664. Its totient is φ = 6880946688.

The previous prime is 20102771329. The next prime is 20102771383. The reversal of 20102771360 is 6317720102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5697917 + ... + 5701443.

It is an arithmetic number, because the mean of its divisors is an integer number (384294456).

Almost surely, 220102771360 is an apocalyptic number.

20102771360 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 20102771360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27669200832).

20102771360 is an abundant number, since it is smaller than the sum of its proper divisors (35235630304).

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

20102771360 is a wasteful number, since it uses less digits than its factorization.

20102771360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4283 (or 4268 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The spelling of 20102771360 in words is "twenty billion, one hundred two million, seven hundred seventy-one thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 727 784 980 1120 1454 1568 1960 2908 3527 3635 3920 5089 5816 7054 7270 7840 10178 11632 14108 14540 17635 20356 23264 24689 25445 28216 29080 35270 35623 40712 49378 50890 56432 58160 70540 71246 81424 98756 101780 112864 116320 123445 141080 142492 162848 172823 178115 197512 203560 246890 282160 284984 345646 356230 395024 407120 493780 564320 569968 691292 712460 790048 814240 864115 987560 1139936 1382584 1424920 1728230 1975120 2564129 2765168 2849840 3456460 3950240 5128258 5530336 5699680 6912920 10256516 12820645 13825840 17948903 20513032 25641290 27651680 35897806 41026064 51282580 71795612 82052128 89744515 102565160 125642321 143591224 179489030 205130320 251284642 287182448 358978060 410260640 502569284 574364896 628211605 717956120 1005138568 1256423210 1435912240 2010277136 2512846420 2871824480 4020554272 5025692840 10051385680 20102771360