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20254413617889 = 3117310977135869
BaseRepresentation
bin1001001101011110110010…
…01000001111101011100001
32122201022011220120101022020
410212233121020033223201
510123322014341233024
6111024425452532053
74160222152055163
oct446573110175341
978638156511266
1020254413617889
1164a9937501780
122331536181029
13b3bca1893139
14500466cd0933
15251ce53c8979
hex126bd920fae1

20254413617889 has 32 divisors (see below), whose sum is σ = 30138527126400. Its totient is φ = 11996170191360.

The previous prime is 20254413617833. The next prime is 20254413617891. The reversal of 20254413617889 is 98871631445202.

It is a de Polignac number, because none of the positive numbers 2k-20254413617889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20254413617899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38305354 + ... + 38830515.

It is an arithmetic number, because the mean of its divisors is an integer number (941828972700).

It is a 1-persistent number, because it is pandigital, but 2⋅20254413617889 = 40508827235778 is not.

Almost surely, 220254413617889 is an apocalyptic number.

It is an amenable number.

20254413617889 is a deficient number, since it is larger than the sum of its proper divisors (9884113508511).

20254413617889 is a wasteful number, since it uses less digits than its factorization.

20254413617889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77136065.

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 20254413617889 in words is "twenty trillion, two hundred fifty-four billion, four hundred thirteen million, six hundred seventeen thousand, eight hundred eighty-nine".

Divisors: 1 3 11 33 73 109 219 327 803 1199 2409 3597 7957 23871 87527 262581 77135869 231407607 848494559 2545483677 5630918437 8407809721 16892755311 25223429163 61940102807 92485906931 185820308421 277457720793 613770109633 1841310328899 6751471205963 20254413617889