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15342241552 = 24111912291993
BaseRepresentation
bin11100100100111100…
…00000011100010000
31110121020010121211121
432102132000130100
5222410103212202
611014221252024
71052123621131
oct162236003420
943536117747
1015342241552
116563328180
122b82104014
1315a6716a51
14a57871c88
155ebdb9537
hex392780710

15342241552 has 80 divisors (see below), whose sum is σ = 32756474880. Its totient is φ = 6903475200.

The previous prime is 15342241529. The next prime is 15342241561. The reversal of 15342241552 is 25514224351.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7697068 + ... + 7699060.

It is an arithmetic number, because the mean of its divisors is an integer number (409455936).

Almost surely, 215342241552 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 15342241552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16378237440).

15342241552 is an abundant number, since it is smaller than the sum of its proper divisors (17414233328).

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

15342241552 is a wasteful number, since it uses less digits than its factorization.

15342241552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2426 counting only the distinct ones).

The product of its digits is 48000, while the sum is 34.

The spelling of 15342241552 in words is "fifteen billion, three hundred forty-two million, two hundred forty-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 191 229 382 458 764 916 1528 1832 1993 2101 2519 3056 3664 3986 4202 5038 7972 8404 10076 15944 16808 20152 21923 31888 33616 40304 43739 43846 87478 87692 174956 175384 349912 350768 380663 456397 481129 699824 761326 912794 962258 1522652 1825588 1924516 3045304 3651176 3849032 4187293 5020367 6090608 7302352 7698064 8374586 10040734 16749172 20081468 33498344 40162936 66996688 80325872 87171827 174343654 348687308 697374616 958890097 1394749232 1917780194 3835560388 7671120776 15342241552