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23345400512 = 26788159149
BaseRepresentation
bin10101101111011111…
…101000101011000000
32020020222111020000102
4111233133220223000
5340302410304022
614420312541532
71454343426110
oct255737505300
966228436012
1023345400512
11999a962a35
1246363b18a8
1322807c4975
1411b671d040
159197daa92
hex56f7e8ac0

23345400512 has 56 divisors (see below), whose sum is σ = 53005024800. Its totient is φ = 9993646080.

The previous prime is 23345400497. The next prime is 23345400523. The reversal of 23345400512 is 21500454332.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 365114 + ... + 424262.

It is an arithmetic number, because the mean of its divisors is an integer number (946518300).

Almost surely, 223345400512 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 23345400512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26502512400).

23345400512 is an abundant number, since it is smaller than the sum of its proper divisors (29659624288).

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

23345400512 is an equidigital number, since it uses as much as digits as its factorization.

23345400512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60049 (or 60039 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 23345400512 its reverse (21500454332), we get a palindrome (44845854844).

The spelling of 23345400512 in words is "twenty-three billion, three hundred forty-five million, four hundred thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 881 1762 3524 6167 7048 12334 14096 24668 28192 49336 56384 59149 98672 118298 197344 236596 394688 414043 473192 828086 946384 1656172 1892768 3312344 3785536 6624688 13249376 26498752 52110269 104220538 208441076 364771883 416882152 729543766 833764304 1459087532 1667528608 2918175064 3335057216 5836350128 11672700256 23345400512