Search a number
-
+
12645030720 = 263577923819
BaseRepresentation
bin10111100011011001…
…11101101101000000
31012122020212010011010
423301230331231000
5201344111440340
65450430520520
7625232662530
oct136154755500
935566763133
1012645030720
1153a9876813
12254a966140
1312669989ca
1487d5674c0
154e01d5b80
hex2f1b3db40

12645030720 has 224 divisors, whose sum is σ = 46466150400. Its totient is φ = 2853586944.

The previous prime is 12645030709. The next prime is 12645030731. The reversal of 12645030720 is 2703054621.

It is an interprime number because it is at equal distance from previous prime (12645030709) and next prime (12645030731).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 518971 + ... + 542789.

Almost surely, 212645030720 is an apocalyptic number.

12645030720 is a gapful number since it is divisible by the number (10) 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 12645030720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23233075200).

12645030720 is an abundant number, since it is smaller than the sum of its proper divisors (33821119680).

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

12645030720 is a wasteful number, since it uses less digits than its factorization.

12645030720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23925 (or 23915 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 12645030720 in words is "twelve billion, six hundred forty-five million, thirty thousand, seven hundred twenty".