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20672681135106 = 237111313725124123
BaseRepresentation
bin1001011001101001110111…
…10100001100110000000010
32201012021210200200202221210
410230310323310030300002
510202200122332310411
6111544522033230550
74232360211231660
oct454647364146002
981167720622853
1020672681135106
116650264624140
12239a607102456
13b6c56b998760
145167c5239c30
1525cb258beca6
hex12cd3bd0cc02

20672681135106 has 128 divisors (see below), whose sum is σ = 55917858318336. Its totient is φ = 4920308052480.

The previous prime is 20672681135021. The next prime is 20672681135129. The reversal of 20672681135106 is 60153118627602.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11739240 + ... + 13384883.

It is an arithmetic number, because the mean of its divisors is an integer number (436858268112).

Almost surely, 220672681135106 is an apocalyptic number.

20672681135106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

20672681135106 is an abundant number, since it is smaller than the sum of its proper divisors (35245177183230).

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

20672681135106 is a wasteful number, since it uses less digits than its factorization.

20672681135106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25124296.

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 20672681135106 in words is "twenty trillion, six hundred seventy-two billion, six hundred eighty-one million, one hundred thirty-five thousand, one hundred six".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 137 143 154 182 231 273 274 286 411 429 462 546 822 858 959 1001 1507 1781 1918 2002 2877 3003 3014 3562 4521 5343 5754 6006 9042 10549 10686 12467 19591 21098 24934 31647 37401 39182 58773 63294 74802 117546 137137 274274 411411 822822 25124123 50248246 75372369 150744738 175868861 276365353 326613599 351737722 527606583 552730706 653227198 829096059 979840797 1055213166 1658192118 1934557471 1959681594 2286295193 3442004851 3592749589 3869114942 4572590386 5803672413 6858885579 6884009702 7185499178 10326014553 10778248767 11607344826 13717771158 20652029106 21556497534 24094033957 25149247123 37862053361 44746063063 48188067914 50298494246 72282101871 75447741369 75724106722 89492126126 113586160083 134238189189 144564203742 150895482738 227172320166 265034373527 268476378378 313222441441 492206693693 530068747054 626444882882 795103120581 939667324323 984413387386 1476620081079 1590206241162 1879334648646 2953240162158 3445446855851 6890893711702 10336340567553 20672681135106