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20468513501832 = 233112919913434803
BaseRepresentation
bin1001010011101101100100…
…11110011111001010001000
32200110202210220021101101110
410221312302132133022020
510140324003424024312
6111311034424250320
74211541563050434
oct451666236371210
980422726241343
1020468513501832
116581714293420
122366b279109a0
13b562320c3bb6
1450a9778499c4
1525767661143c
hex129db279f288

20468513501832 has 128 divisors (see below), whose sum is σ = 58038353280000. Its totient is φ = 5958603383040.

The previous prime is 20468513501771. The next prime is 20468513501837. The reversal of 20468513501832 is 23810531586402.

It is not an unprimeable number, because it can be changed into a prime (20468513501837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5193858 + ... + 8240945.

It is an arithmetic number, because the mean of its divisors is an integer number (453424635000).

Almost surely, 220468513501832 is an apocalyptic number.

20468513501832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20468513501832 is an abundant number, since it is smaller than the sum of its proper divisors (37569839778168).

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

20468513501832 is a wasteful number, since it uses less digits than its factorization.

20468513501832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13435051 (or 13435047 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 20468513501832 in words is "twenty trillion, four hundred sixty-eight billion, five hundred thirteen million, five hundred one thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 199 232 264 319 348 398 597 638 696 796 957 1194 1276 1592 1914 2189 2388 2552 3828 4378 4776 5771 6567 7656 8756 11542 13134 17313 17512 23084 26268 34626 46168 52536 63481 69252 126962 138504 190443 253924 380886 507848 761772 1523544 13434803 26869606 40304409 53739212 80608818 107478424 147782833 161217636 295565666 322435272 389609287 443348499 591131332 779218574 886696998 1168827861 1182262664 1558437148 1773393996 2337655722 2673525797 3116874296 3546787992 4285702157 4675311444 5347051594 8020577391 8571404314 9350622888 10694103188 12857106471 16041154782 17142808628 21388206376 25714212942 29408783767 32082309564 34285617256 51428425884 58817567534 64164619128 77532248113 88226351301 102856851768 117635135068 155064496226 176452702602 232596744339 235270270136 310128992452 352905405204 465193488678 620257984904 705810810408 852854729243 930386977356 1705709458486 1860773954712 2558564187729 3411418916972 5117128375458 6822837833944 10234256750916 20468513501832