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20244151144 = 237419299491
BaseRepresentation
bin10010110110101001…
…010011101101101000
31221020211221102122201
4102312221103231220
5312430000314034
613144450225544
71314445305550
oct226651235550
957224842581
1020244151144
118649328428
123b0b8852b4
131ba8150079
14da08bc160
157d73e7014
hex4b6a53b68

20244151144 has 64 divisors (see below), whose sum is σ = 44490902400. Its totient is φ = 8454451200.

The previous prime is 20244151129. The next prime is 20244151183. The reversal of 20244151144 is 44115144202.

It is a happy number.

It is a super-2 number, since 2×202441511442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2128239 + ... + 2137729.

It is an arithmetic number, because the mean of its divisors is an integer number (695170350).

Almost surely, 220244151144 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 20244151144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22245451200).

20244151144 is an abundant number, since it is smaller than the sum of its proper divisors (24246751256).

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

20244151144 is a wasteful number, since it uses less digits than its factorization.

20244151144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10474 (or 10470 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 20244151144 its reverse (44115144202), we get a palindrome (64359295346).

The spelling of 20244151144 in words is "twenty billion, two hundred forty-four million, one hundred fifty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 574 929 1148 1858 2296 3716 6503 7432 9491 13006 18982 26012 37964 38089 52024 66437 75928 76178 132874 152356 265748 266623 304712 389131 531496 533246 778262 1066492 1556524 2132984 2723917 3113048 5447834 8817139 10895668 17634278 21791336 35268556 61719973 70537112 123439946 246879892 361502699 493759784 723005398 1446010796 2530518893 2892021592 5061037786 10122075572 20244151144