Search a number
-
+
2036474556601 = 937215232
BaseRepresentation
bin11101101000100111010…
…101111011000010111001
321012200111102011022021211
4131220213111323002321
5231331144441302401
64155313221203121
7300062511056152
oct35504725730271
97180442138254
102036474556601
11715733884041
1228a8232604a1
1311a06710c344
14707ccb58929
1537e9022d951
hex1da2757b0b9

2036474556601 has 9 divisors (see below), whose sum is σ = 2039989729071. Its totient is φ = 2032965438192.

The previous prime is 2036474556551. The next prime is 2036474556607. The reversal of 2036474556601 is 1066554746302.

The square root of 2036474556601 is 1427051.

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., 107220228025 + 1929254328576 = 327445^2 + 1388976^2 .

It is not a de Polignac number, because 2036474556601 - 29 = 2036474556089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2036474556607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1337146026 + ... + 1337147548.

Almost surely, 22036474556601 is an apocalyptic number.

2036474556601 is the 1427051-st square number.

2036474556601 is the 713526-th centered octagonal number.

It is an amenable number.

2036474556601 is a deficient number, since it is larger than the sum of its proper divisors (3515172470).

2036474556601 is an frugal number, since it uses more digits than its factorization.

2036474556601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4920 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 49.

Multiplying 2036474556601 by its sum of digits (49), we get a square (99787253273449 = 99893572).

The spelling of 2036474556601 in words is "two trillion, thirty-six billion, four hundred seventy-four million, five hundred fifty-six thousand, six hundred one".

Divisors: 1 937 1523 877969 1427051 2319529 1337146787 2173398673 2036474556601