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20145020082 = 231110911324781
BaseRepresentation
bin10010110000101111…
…001001110010110010
31220222221102001101220
4102300233021302302
5312224111120312
613130545405510
71312132562655
oct226057116262
956887361356
1020145020082
1185a837a830
123aa2639896
131b90751c35
14d9167589c
157cd864c8c
hex4b0bc9cb2

20145020082 has 64 divisors (see below), whose sum is σ = 44750344320. Its totient is φ = 5994777600.

The previous prime is 20145020081. The next prime is 20145020083. The reversal of 20145020082 is 28002054102.

It is an interprime number because it is at equal distance from previous prime (20145020081) and next prime (20145020083).

It is not an unprimeable number, because it can be changed into a prime (20145020081) 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, 800532 + ... + 825312.

It is an arithmetic number, because the mean of its divisors is an integer number (699224130).

Almost surely, 220145020082 is an apocalyptic number.

20145020082 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20145020082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22375172160).

20145020082 is an abundant number, since it is smaller than the sum of its proper divisors (24605324238).

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

20145020082 is a wasteful number, since it uses less digits than its factorization.

20145020082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25019.

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 20145020082 its reverse (28002054102), we get a palindrome (48147074184).

The spelling of 20145020082 in words is "twenty billion, one hundred forty-five million, twenty thousand, eighty-two".

Divisors: 1 2 3 6 11 22 33 66 109 113 218 226 327 339 654 678 1199 1243 2398 2486 3597 3729 7194 7458 12317 24634 24781 36951 49562 73902 74343 135487 148686 270974 272591 406461 545182 812922 817773 1635546 2701129 2800253 5402258 5600506 8103387 8400759 16206774 16801518 29712419 30802783 59424838 61605566 89137257 92408349 178274514 184816698 305227577 610455154 915682731 1831365462 3357503347 6715006694 10072510041 20145020082