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20013062307525 = 3252743133438819
BaseRepresentation
bin1001000110011101001110…
…11110000011111011000101
32121212020012201111110222100
410203032213132003323011
510110343222422320100
6110321512432422313
74133616224554050
oct443164736037305
977766181443870
1020013062307525
116416545a2a011
1222b27ba0a7999
13b222ba55caa1
144d28ccda5a97
1524a8bb9e4400
hex1233a7783ec5

20013062307525 has 144 divisors (see below), whose sum is σ = 41078410813440. Its totient is φ = 9123836457600.

The previous prime is 20013062307431. The next prime is 20013062307529. The reversal of 20013062307525 is 52570326031002.

20013062307525 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 3 + 0 + 623 + 0 + 7 + 5 + 25 = 666.

It is not a de Polignac number, because 20013062307525 - 211 = 20013062305477 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20013062307525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20013062307529) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2269307566 + ... + 2269316384.

It is an arithmetic number, because the mean of its divisors is an integer number (285266741760).

Almost surely, 220013062307525 is an apocalyptic number.

20013062307525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20013062307525 is an abundant number, since it is smaller than the sum of its proper divisors (21065348505915).

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

20013062307525 is a wasteful number, since it uses less digits than its factorization.

20013062307525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12616 (or 12608 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

Adding to 20013062307525 its reverse (52570326031002), we get a palindrome (72583388338527).

The spelling of 20013062307525 in words is "twenty trillion, thirteen billion, sixty-two million, three hundred seven thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 431 525 1293 1575 2155 3017 3343 3879 6465 8819 9051 10029 10775 15085 16715 19395 23401 26457 27153 30087 32325 44095 45255 50145 61733 70203 75425 79371 83575 96975 117005 132285 135765 150435 185199 210609 220475 226275 250725 308665 351015 396855 555597 585025 661425 678825 752175 925995 1053045 1440833 1543325 1755075 1984275 2777985 3800989 4322499 4629975 5265225 7204165 10085831 11402967 12967497 13889925 19004945 21612495 26606923 29481917 30257493 34208901 36020825 50429155 57014835 64837485 79820769 88445751 90772479 95024725 108062475 133034615 147409585 151287465 171044505 206373419 239462307 252145775 265337253 285074175 324187425 399103845 442228755 453862395 619120257 665173075 737047925 756437325 855222525 1031867095 1197311535 1326686265 1857360771 1995519225 2211143775 2269311975 3095601285 5159335475 5986557675 6633431325 9286803855 12706706227 15478006425 38120118681 46434019275 63533531135 88946943589 114360356043 190600593405 266840830767 317667655675 444734717945 571801780215 800522492301 953002967025 1334204153835 2223673589725 2859008901075 4002612461505 6671020769175 20013062307525