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23441444532 = 22321177376579
BaseRepresentation
bin10101110101001110…
…000000111010110100
32020111200012202122100
4111311032000322310
5341002002211112
614434023302100
71456620663612
oct256516007264
966450182570
1023441444532
119a3a0a2260
1246625aa930
13229768194c
1411c53a06b2
15922e5d2dc
hex575380eb4

23441444532 has 72 divisors (see below), whose sum is σ = 64726028640. Its totient is φ = 7094185920.

The previous prime is 23441444531. The next prime is 23441444549. The reversal of 23441444532 is 23544414432.

23441444532 is a `hidden beast` number, since 23 + 44 + 144 + 453 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23441444531) 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 23 ways as a sum of consecutive naturals, for example, 267819 + ... + 344397.

It is an arithmetic number, because the mean of its divisors is an integer number (898972620).

Almost surely, 223441444532 is an apocalyptic number.

23441444532 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 23441444532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32363014320).

23441444532 is an abundant number, since it is smaller than the sum of its proper divisors (41284584108).

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

23441444532 is a wasteful number, since it uses less digits than its factorization.

23441444532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77373 (or 77368 counting only the distinct ones).

The product of its digits is 184320, while the sum is 36.

Adding to 23441444532 its reverse (23544414432), we get a palindrome (46985858964).

The spelling of 23441444532 in words is "twenty-three billion, four hundred forty-one million, four hundred forty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 773 1546 2319 3092 4638 6957 8503 9276 13914 17006 25509 27828 34012 51018 76527 76579 102036 153054 153158 229737 306108 306316 459474 689211 842369 918948 1378422 1684738 2527107 2756844 3369476 5054214 7581321 10108428 15162642 30325284 59195567 118391134 177586701 236782268 355173402 532760103 651151237 710346804 1065520206 1302302474 1953453711 2131040412 2604604948 3906907422 5860361133 7813814844 11720722266 23441444532