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15300145104 = 2434337919559
BaseRepresentation
bin11100011111111010…
…11010111111010000
31110111021220220100220
432033331122333100
5222313314120404
611010115113040
71051103042016
oct161775327720
943437826326
1015300145104
116541595522
122b6bba2780
13159aa97bca
14a520348b6
155e83514d9
hex38ff5afd0

15300145104 has 80 divisors (see below), whose sum is σ = 40553356800. Its totient is φ = 4968044928.

The previous prime is 15300145097. The next prime is 15300145151. The reversal of 15300145104 is 40154100351.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 772477 + ... + 792035.

It is an arithmetic number, because the mean of its divisors is an integer number (506916960).

Almost surely, 215300145104 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 15300145104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20276678400).

15300145104 is an abundant number, since it is smaller than the sum of its proper divisors (25253211696).

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

15300145104 is a wasteful number, since it uses less digits than its factorization.

15300145104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19992 (or 19986 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 15300145104 its reverse (40154100351), we get a palindrome (55454245455).

The spelling of 15300145104 in words is "fifteen billion, three hundred million, one hundred forty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 379 516 688 758 1032 1137 1516 2064 2274 3032 4548 6064 9096 16297 18192 19559 32594 39118 48891 58677 65188 78236 97782 117354 130376 156472 195564 234708 260752 312944 391128 469416 782256 841037 938832 1682074 2523111 3364148 5046222 6728296 7412861 10092444 13456592 14825722 20184888 22238583 29651444 40369776 44477166 59302888 88954332 118605776 177908664 318753023 355817328 637506046 956259069 1275012092 1912518138 2550024184 3825036276 5100048368 7650072552 15300145104