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20081826574425 = 32527111159124189
BaseRepresentation
bin1001001000011101010100…
…01000111011000001011001
32122002210201000121011201100
410210032222020323001121
510113010040100340200
6110413244101342013
74141602245311230
oct444165210730131
978083630534640
1020081826574425
116442722629560
122303bab107909
13b28928981605
144d5d73829b17
1524c5938abd00
hex1243aa23b059

20081826574425 has 72 divisors (see below), whose sum is σ = 44844196662720. Its totient is φ = 8345694153600.

The previous prime is 20081826574417. The next prime is 20081826574427. The reversal of 20081826574425 is 52447562818002.

20081826574425 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 1 + 8 + 26 + 574 + 42 + 5 = 666.

It is not a de Polignac number, because 20081826574425 - 23 = 20081826574417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20081826574427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 579544770 + ... + 579579419.

It is an arithmetic number, because the mean of its divisors is an integer number (622836064760).

Almost surely, 220081826574425 is an apocalyptic number.

20081826574425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20081826574425 is an abundant number, since it is smaller than the sum of its proper divisors (24762370088295).

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

20081826574425 is a wasteful number, since it uses less digits than its factorization.

20081826574425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159124223 (or 1159124215 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 20081826574425 in words is "twenty trillion, eighty-one billion, eight hundred twenty-six million, five hundred seventy-four thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 45 55 63 75 77 99 105 165 175 225 231 275 315 385 495 525 693 825 1155 1575 1925 2475 3465 5775 17325 1159124189 3477372567 5795620945 8113869323 10432117701 12750366079 17386862835 24341607969 28978104725 38251098237 40569346615 52160588505 63751830395 73024823907 86934314175 89252562553 114753294711 121708039845 191255491185 202846733075 260802942525 267757687659 318759151975 365124119535 446262812765 573766473555 608540199225 803273062977 956277455925 1338788438295 1825620597675 2231314063825 2868832367775 4016365314885 6693942191475 20081826574425