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20153154032 = 2411288311789
BaseRepresentation
bin10010110001001110…
…001011100111110000
31221000111201022002022
4102301032023213300
5312233201412112
613131440011012
71312261661054
oct226116134760
957014638068
1020153154032
118601a25a00
123aa5300a68
131b9233c31b
14d92791c64
157ce41ed72
hex4b138b9f0

20153154032 has 60 divisors (see below), whose sum is σ = 42971390280. Its totient is φ = 9149374080.

The previous prime is 20153154031. The next prime is 20153154053. The reversal of 20153154032 is 23045135102.

It is a happy number.

It is a super-2 number, since 2×201531540322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20153153992 and 20153154010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20153154031) 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 11 ways as a sum of consecutive naturals, for example, 1703594 + ... + 1715382.

It is an arithmetic number, because the mean of its divisors is an integer number (716189838).

Almost surely, 220153154032 is an apocalyptic number.

20153154032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20153154032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21485695140).

20153154032 is an abundant number, since it is smaller than the sum of its proper divisors (22818236248).

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

20153154032 is a wasteful number, since it uses less digits than its factorization.

20153154032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12702 (or 12685 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 20153154032 its reverse (23045135102), we get a palindrome (43198289134).

The spelling of 20153154032 in words is "twenty billion, one hundred fifty-three million, one hundred fifty-four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 883 968 1766 1936 3532 7064 9713 11789 14128 19426 23578 38852 47156 77704 94312 106843 129679 155408 188624 213686 259358 427372 518716 854744 1037432 1426469 1709488 2074864 2852938 5705876 10409687 11411752 20819374 22823504 41638748 83277496 114506557 166554992 229013114 458026228 916052456 1259572127 1832104912 2519144254 5038288508 10076577016 20153154032