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20005541244 = 223313113126097
BaseRepresentation
bin10010101000011011…
…000101010101111100
31220122012221210102000
4102220123011111330
5311432404304434
613105044102300
71305520203063
oct225033052574
956565853360
1020005541244
118536674267
123a63994990
131b6a897b90
14d7ad291da
157c14b2b99
hex4a86c557c

20005541244 has 96 divisors (see below), whose sum is σ = 56350674240. Its totient is φ = 6101028864.

The previous prime is 20005541207. The next prime is 20005541249. The reversal of 20005541244 is 44214550002.

20005541244 is a `hidden beast` number, since 200 + 0 + 5 + 5 + 412 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20005541249) 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, 95604 + ... + 221700.

It is an arithmetic number, because the mean of its divisors is an integer number (586986190).

Almost surely, 220005541244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20005541244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28175337120).

20005541244 is an abundant number, since it is smaller than the sum of its proper divisors (36345132996).

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

20005541244 is a wasteful number, since it uses less digits than its factorization.

20005541244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126236 (or 126228 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The spelling of 20005541244 in words is "twenty billion, five million, five hundred forty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 113 117 156 226 234 339 351 452 468 678 702 1017 1356 1404 1469 2034 2938 3051 4068 4407 5876 6102 8814 12204 13221 17628 26442 39663 52884 79326 126097 158652 252194 378291 504388 756582 1134873 1513164 1639261 2269746 3278522 3404619 4539492 4917783 6557044 6809238 9835566 13618476 14248961 14753349 19671132 28497922 29506698 42746883 44260047 56995844 59013396 85493766 88520094 128240649 170987532 177040188 185236493 256481298 370472986 384721947 512962596 555709479 740945972 769443894 1111418958 1538887788 1667128437 2222837916 3334256874 5001385311 6668513748 10002770622 20005541244