Search a number
-
+
12672087376 = 2413371646581
BaseRepresentation
bin10111100110101000…
…01011010101010000
31012201010202201220111
423303110023111100
5201423023244001
65453234451104
7626011652104
oct136324132520
935633681814
1012672087376
115413076893
122557a33a94
13126c480070
14882dab904
154e277c851
hex2f350b550

12672087376 has 40 divisors (see below), whose sum is σ = 27155430344. Its totient is φ = 5690580480.

The previous prime is 12672087371. The next prime is 12672087377. The reversal of 12672087376 is 67378027621.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2660083776 + 10012003600 = 51576^2 + 100060^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12672087371) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 815595 + ... + 830986.

Almost surely, 212672087376 is an apocalyptic number.

12672087376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12672087376 is an abundant number, since it is smaller than the sum of its proper divisors (14483342968).

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

12672087376 is a wasteful number, since it uses less digits than its factorization.

12672087376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646639 (or 1646633 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 49.

The spelling of 12672087376 in words is "twelve billion, six hundred seventy-two million, eighty-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 592 962 1924 3848 7696 1646581 3293162 6586324 13172648 21405553 26345296 42811106 60923497 85622212 121846994 171244424 243693988 342488848 487387976 792005461 974775952 1584010922 3168021844 6336043688 12672087376