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20420235567660 = 22351638069258763
BaseRepresentation
bin1001010010010011101001…
…11000110010001000101100
32200022011012022211012222110
410221021310320302020230
510134031120301131120
6111232532100444020
74205212321301655
oct451116470621054
980264168735873
1020420235567660
11656319a694975
1223596b36a9610
13b5180a058246
145084b7b0652c
1525629d02d2e0
hex129274e3222c

20420235567660 has 96 divisors (see below), whose sum is σ = 57534788424960. Its totient is φ = 5411297187072.

The previous prime is 20420235567659. The next prime is 20420235567679. The reversal of 20420235567660 is 6676553202402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78785439 + ... + 79044201.

It is an arithmetic number, because the mean of its divisors is an integer number (599320712760).

Almost surely, 220420235567660 is an apocalyptic number.

20420235567660 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 20420235567660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28767394212480).

20420235567660 is an abundant number, since it is smaller than the sum of its proper divisors (37114552857300).

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

20420235567660 is a wasteful number, since it uses less digits than its factorization.

20420235567660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267007 (or 267005 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 48.

The spelling of 20420235567660 in words is "twenty trillion, four hundred twenty billion, two hundred thirty-five million, five hundred sixty-seven thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 163 326 489 652 815 978 1630 1956 2445 3260 4890 8069 9780 16138 24207 32276 40345 48414 80690 96828 121035 161380 242070 258763 484140 517526 776289 1035052 1293815 1315247 1552578 2587630 2630494 3105156 3881445 3945741 5175260 5260988 6576235 7762890 7891482 13152470 15525780 15782964 19728705 26304940 39457410 42178369 78914820 84356738 126535107 168713476 210891845 253070214 421783690 506140428 632675535 843567380 1265351070 2087958647 2530702140 4175917294 6263875941 8351834588 10439793235 12527751882 20879586470 25055503764 31319379705 41759172940 62638759410 125277518820 340337259461 680674518922 1021011778383 1361349037844 1701686297305 2042023556766 3403372594610 4084047113532 5105058891915 6806745189220 10210117783830 20420235567660