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23545201344 = 2637311633467
BaseRepresentation
bin10101111011011001…
…110100001011000000
32020202220110011020020
4111323121310023000
5341210032420334
614452211213440
71462320623610
oct257331641300
966686404206
1023545201344
119a9271a295
1246912a7280
1322b300c402
1411d508ca40
1592c105e49
hex57b6742c0

23545201344 has 224 divisors, whose sum is σ = 73965060096. Its totient is φ = 6468387840.

The previous prime is 23545201343. The next prime is 23545201349. The reversal of 23545201344 is 44310254532.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (23545201343) 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, 6789499 + ... + 6792965.

Almost surely, 223545201344 is an apocalyptic number.

23545201344 is a gapful number since it is divisible by the number (24) 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 23545201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36982530048).

23545201344 is an abundant number, since it is smaller than the sum of its proper divisors (50419858752).

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

23545201344 is a wasteful number, since it uses less digits than its factorization.

23545201344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3683 (or 3673 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 23545201344 its reverse (44310254532), we get a palindrome (67855455876).

The spelling of 23545201344 in words is "twenty-three billion, five hundred forty-five million, two hundred one thousand, three hundred forty-four".