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20086349490 = 23351734912539
BaseRepresentation
bin10010101101001111…
…010101111010110010
31220211212000021111000
4102231033111322302
5312114101140430
613121052102430
71310521103454
oct225517257262
956755007430
1020086349490
118578247739
123a86a64a16
131b8154c0cc
14d879622d4
157c8625e60
hex4ad3d5eb2

20086349490 has 128 divisors (see below), whose sum is σ = 56881440000. Its totient is φ = 5026434048.

The previous prime is 20086349471. The next prime is 20086349611. The reversal of 20086349490 is 9494368002.

20086349490 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 634 + 9 + 4 + 9 + 0 = 666.

It is a super-2 number, since 2×200863494902 (a number of 21 digits) contains 22 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1595641 + ... + 1608179.

It is an arithmetic number, because the mean of its divisors is an integer number (444386250).

Almost surely, 220086349490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20086349490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28440720000).

20086349490 is an abundant number, since it is smaller than the sum of its proper divisors (36795090510).

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

20086349490 is a wasteful number, since it uses less digits than its factorization.

20086349490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12921 (or 12915 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 20086349490 in words is "twenty billion, eighty-six million, three hundred forty-nine thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 349 459 510 698 765 918 1047 1530 1745 2094 2295 3141 3490 4590 5235 5933 6282 9423 10470 11866 12539 15705 17799 18846 25078 29665 31410 35598 37617 47115 53397 59330 62695 75234 88995 94230 106794 112851 125390 160191 177990 188085 213163 225702 266985 320382 338553 376170 426326 533970 564255 639489 677106 800955 1065815 1128510 1278978 1601910 1692765 1918467 2131630 3197445 3385530 3836934 4376111 5755401 6394890 8752222 9592335 11510802 13128333 19184670 21880555 26256666 28777005 39384999 43761110 57554010 65641665 74393887 78769998 118154997 131283330 148787774 196924995 223181661 236309994 371969435 393849990 446363322 590774985 669544983 743938870 1115908305 1181549970 1339089966 2008634949 2231816610 3347724915 4017269898 6695449830 10043174745 20086349490