Search a number
-
+
13643796450001 = 3592102892
BaseRepresentation
bin1100011010001011000110…
…1001000000101011010001
31210022100000122002202121111
43012202301221000223101
53242014443342400001
645003512404453321
72605505665212514
oct306426151005321
953270018082544
1013643796450001
114390335448413
1216443139aa241
1377c7b208b7a3
14352512b62d7b
15189d8e455851
hexc68b1a40ad1

13643796450001 has 9 divisors (see below), whose sum is σ = 13683237207451. Its totient is φ = 13604469083104.

The previous prime is 13643796449953. The next prime is 13643796450007. The reversal of 13643796450001 is 10005469734631.

The square root of 13643796450001 is 3693751.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12153932090001 + 1489864360000 = 3486249^2 + 1220600^2 .

It is not a de Polignac number, because 13643796450001 - 237 = 13506357496529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13643796450007) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1326051465 + ... + 1326061753.

Almost surely, 213643796450001 is an apocalyptic number.

13643796450001 is the 3693751-st square number.

13643796450001 is the 1846876-th centered octagonal number.

It is an amenable number.

13643796450001 is a deficient number, since it is larger than the sum of its proper divisors (39440757450).

13643796450001 is an frugal number, since it uses more digits than its factorization.

13643796450001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21296 (or 10648 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

Multiplying 13643796450001 by its sum of digits (49), we get a square (668546026050049 = 258562572).

The spelling of 13643796450001 in words is "thirteen trillion, six hundred forty-three billion, seven hundred ninety-six million, four hundred fifty thousand, one".

Divisors: 1 359 10289 128881 3693751 105863521 1326056609 38005004039 13643796450001