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20441153000 = 235345744729
BaseRepresentation
bin10011000010011000…
…110011110111101000
31221202120122011101202
4103002120303313220
5313330413344000
613220204503332
71322356635152
oct230230636750
957676564352
1020441153000
11873a552884
123b6584ab48
131c09bc7808
14dbcb1dad2
157e985cdd5
hex4c2633de8

20441153000 has 64 divisors (see below), whose sum is σ = 47938035600. Its totient is φ = 8158387200.

The previous prime is 20441152999. The next prime is 20441153027. The reversal of 20441153000 is 35114402.

It can be written as a sum of positive squares in 8 ways, for example, as 5199275236 + 15241877764 = 72106^2 + 123458^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 434636 + ... + 479364.

Almost surely, 220441153000 is an apocalyptic number.

20441153000 is a gapful number since it is divisible by the number (20) 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 20441153000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23969017800).

20441153000 is an abundant number, since it is smaller than the sum of its proper divisors (27496882600).

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

20441153000 is a wasteful number, since it uses less digits than its factorization.

20441153000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45207 (or 45193 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 20441153000 its reverse (35114402), we get a palindrome (20476267402).

The spelling of 20441153000 in words is "twenty billion, four hundred forty-one million, one hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 457 500 914 1000 1828 2285 3656 4570 9140 11425 18280 22850 44729 45700 57125 89458 91400 114250 178916 223645 228500 357832 447290 457000 894580 1118225 1789160 2236450 4472900 5591125 8945800 11182250 20441153 22364500 40882306 44729000 81764612 102205765 163529224 204411530 408823060 511028825 817646120 1022057650 2044115300 2555144125 4088230600 5110288250 10220576500 20441153000