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15342038568 = 23325916322157
BaseRepresentation
bin11100100100111010…
…01110111000101000
31110121012202022101200
432102131032320220
5222410030213233
611014213044200
71052122114263
oct162235167050
943535668350
1015342038568
1165631a971a
122b82026660
1315a667553c
14a5781bcda
155ebd79313
hex39274ee28

15342038568 has 96 divisors (see below), whose sum is σ = 42516770400. Its totient is φ = 4996266624.

The previous prime is 15342038561. The next prime is 15342038629. The reversal of 15342038568 is 86583024351.

15342038568 is a `hidden beast` number, since 1 + 5 + 34 + 20 + 38 + 568 = 666.

15342038568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (15342038561) 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, 681346 + ... + 703502.

It is an arithmetic number, because the mean of its divisors is an integer number (442883025).

Almost surely, 215342038568 is an apocalyptic number.

15342038568 is a gapful number since it is divisible by the number (18) 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 15342038568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21258385200).

15342038568 is an abundant number, since it is smaller than the sum of its proper divisors (27174731832).

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

15342038568 is a wasteful number, since it uses less digits than its factorization.

15342038568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22391 (or 22384 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 15342038568 in words is "fifteen billion, three hundred forty-two million, thirty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 163 177 236 326 354 472 489 531 652 708 978 1062 1304 1416 1467 1956 2124 2934 3912 4248 5868 9617 11736 19234 22157 28851 38468 44314 57702 66471 76936 86553 88628 115404 132942 173106 177256 199413 230808 265884 346212 398826 531768 692424 797652 1307263 1595304 2614526 3611591 3921789 5229052 7223182 7843578 10458104 10834773 11765367 14446364 15687156 21669546 23530734 28892728 31374312 32504319 43339092 47061468 65008638 86678184 94122936 130017276 213083869 260034552 426167738 639251607 852335476 1278503214 1704670952 1917754821 2557006428 3835509642 5114012856 7671019284 15342038568