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20401107007512 = 23371119075788967
BaseRepresentation
bin1001010001110000000001…
…01111000111100000011000
32200020022211020001200110210
410220320000233013200120
510133222431343220022
6111220050021211120
74203634310233020
oct450700057074030
980208736050423
1020401107007512
116556074060580
122355a55560aa0
13b4ca7c0874ba
145075c1464a80
15255a2da4ba0c
hex128e00bc7818

20401107007512 has 128 divisors (see below), whose sum is σ = 63621221437440. Its totient is φ = 5296209214080.

The previous prime is 20401107007487. The next prime is 20401107007517. The reversal of 20401107007512 is 21570070110402.

It is a self number, because there is not a number n which added to its sum of digits gives 20401107007512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20401107007517) 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, 629653 + ... + 6418619.

It is an arithmetic number, because the mean of its divisors is an integer number (497040792480).

Almost surely, 220401107007512 is an apocalyptic number.

20401107007512 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 20401107007512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31810610718720).

20401107007512 is an abundant number, since it is smaller than the sum of its proper divisors (43220114429928).

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

20401107007512 is a wasteful number, since it uses less digits than its factorization.

20401107007512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5790901 (or 5790897 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

Adding to 20401107007512 its reverse (21570070110402), we get a palindrome (41971177117914).

The spelling of 20401107007512 in words is "twenty trillion, four hundred one billion, one hundred seven million, seven thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 1907 3814 5721 7628 11442 13349 15256 20977 22884 26698 40047 41954 45768 53396 62931 80094 83908 106792 125862 146839 160188 167816 251724 293678 320376 440517 503448 587356 881034 1174712 1762068 3524136 5788967 11577934 17366901 23155868 34733802 40522769 46311736 63678637 69467604 81045538 121568307 127357274 138935208 162091076 191035911 243136614 254714548 324182152 382071822 445750459 486273228 509429096 764143644 891500918 972546456 1337251377 1528287288 1783001836 2674502754 3566003672 5349005508 10698011016 11039560069 22079120138 33118680207 44158240276 66237360414 77276920483 88316480552 121435160759 132474720828 154553840966 231830761449 242870321518 264949441656 309107681932 364305482277 463661522898 485740643036 618215363864 728610964554 850046125313 927323045796 971481286072 1457221929108 1700092250626 1854646091592 2550138375939 2914443858216 3400184501252 5100276751878 6800369002504 10200553503756 20401107007512