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20505086712 = 23331123337039
BaseRepresentation
bin10011000110001100…
…101100101011111000
31221221000221022222000
4103012030230223320
5313443300233322
613230411101000
71324064234625
oct230614545370
957830838860
1020505086712
118772650160
123b83141760
131c1a221106
14dc740334c
1580028b3ac
hex4c632caf8

20505086712 has 128 divisors (see below), whose sum is σ = 62404992000. Its totient is φ = 6186827520.

The previous prime is 20505086711. The next prime is 20505086713. The reversal of 20505086712 is 21768050502.

It is a happy number.

20505086712 is a `hidden beast` number, since 2 + 0 + 505 + 0 + 86 + 71 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (20505086711) and next prime (20505086713).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20505086711) 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, 535089 + ... + 572127.

It is an arithmetic number, because the mean of its divisors is an integer number (487539000).

Almost surely, 220505086712 is an apocalyptic number.

20505086712 is a gapful number since it is divisible by the number (22) 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 20505086712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31202496000).

20505086712 is an abundant number, since it is smaller than the sum of its proper divisors (41899905288).

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

20505086712 is a wasteful number, since it uses less digits than its factorization.

20505086712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37298 (or 37288 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 20505086712 in words is "twenty billion, five hundred five million, eighty-six thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 233 264 297 396 466 594 699 792 932 1188 1398 1864 2097 2376 2563 2796 4194 5126 5592 6291 7689 8388 10252 12582 15378 16776 20504 23067 25164 30756 37039 46134 50328 61512 69201 74078 92268 111117 138402 148156 184536 222234 276804 296312 333351 407429 444468 553608 666702 814858 888936 1000053 1222287 1333404 1629716 2000106 2444574 2666808 3259432 3666861 4000212 4889148 7333722 8000424 8630087 9778296 11000583 14667444 17260174 22001166 25890261 29334888 34520348 44002332 51780522 69040696 77670783 88004664 94930957 103561044 155341566 189861914 207122088 233012349 284792871 310683132 379723828 466024698 569585742 621366264 759447656 854378613 932049396 1139171484 1708757226 1864098792 2278342968 2563135839 3417514452 5126271678 6835028904 10252543356 20505086712