Search a number
-
+
15126390016 = 28174380831
BaseRepresentation
bin11100001011001101…
…00110010100000000
31110001011222020012021
432011212212110000
5221434323440031
610540551011224
71043563123303
oct160546462400
943034866167
1015126390016
1164624a8781
122b21969b14
131570a9c64a
14a36d24b3a
155d7e7d511
hex3859a6500

15126390016 has 72 divisors (see below), whose sum is σ = 32713680384. Its totient is φ = 6952673280.

The previous prime is 15126389983. The next prime is 15126390031. The reversal of 15126390016 is 61009362151.

It is a super-2 number, since 2×151263900162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 146721 + ... + 227551.

It is an arithmetic number, because the mean of its divisors is an integer number (454356672).

Almost surely, 215126390016 is an apocalyptic number.

15126390016 is a gapful number since it is divisible by the number (16) 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 15126390016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16356840192).

15126390016 is an abundant number, since it is smaller than the sum of its proper divisors (17587290368).

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

15126390016 is an equidigital number, since it uses as much as digits as its factorization.

15126390016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80907 (or 80893 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The spelling of 15126390016 in words is "fifteen billion, one hundred twenty-six million, three hundred ninety thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 43 64 68 86 128 136 172 256 272 344 544 688 731 1088 1376 1462 2176 2752 2924 4352 5504 5848 11008 11696 23392 46784 80831 93568 161662 187136 323324 646648 1293296 1374127 2586592 2748254 3475733 5173184 5496508 6951466 10346368 10993016 13902932 20692736 21986032 27805864 43972064 55611728 59087461 87944128 111223456 118174922 175888256 222446912 236349844 351776512 444893824 472699688 889787648 945399376 1890798752 3781597504 7563195008 15126390016