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20140632575712 = 2533112119174303
BaseRepresentation
bin1001001010001010110110…
…10000000000111011100000
32122022102111022110120011000
410211011123100000323200
510114441003414410322
6110500251234152000
74146053436134145
oct445053320007340
978272438416130
1020140632575712
11646565a029720
122313481122600
13b3133ac38a8c
144d8b518b23cc
1524dd863ac3ac
hex12515b400ee0

20140632575712 has 96 divisors (see below), whose sum is σ = 64083830952960. Its totient is φ = 6103221989760.

The previous prime is 20140632575689. The next prime is 20140632575773. The reversal of 20140632575712 is 21757523604102.

20140632575712 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 0 + 6 + 3 + 2 + 575 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1059577648 + ... + 1059596655.

It is an arithmetic number, because the mean of its divisors is an integer number (667539905760).

Almost surely, 220140632575712 is an apocalyptic number.

20140632575712 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20140632575712 is an abundant number, since it is smaller than the sum of its proper divisors (43943198377248).

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

20140632575712 is a wasteful number, since it uses less digits than its factorization.

20140632575712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119174333 (or 2119174319 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 20140632575712 in words is "twenty trillion, one hundred forty billion, six hundred thirty-two million, five hundred seventy-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 2119174303 4238348606 6357522909 8476697212 12715045818 16953394424 19072568727 23310917333 25430091636 33906788848 38145137454 46621834666 50860183272 57217706181 67813577696 69932751999 76290274908 93243669332 101720366544 114435412362 139865503998 152580549816 186487338664 203440733088 209798255997 228870824724 279731007996 305161099632 372974677328 419596511994 457741649448 559462015992 610322199264 629394767991 745949354656 839193023988 915483298896 1118924031984 1258789535982 1678386047976 1830966597792 2237848063968 2517579071964 3356772095952 5035158143928 6713544191904 10070316287856 20140632575712