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36232741801 = 172111972
BaseRepresentation
bin100001101111101000…
…111100001110101001
310110112010021222210001
4201233220330032221
51043201040214201
624351201223001
72421611136514
oct415750741651
9113463258701
1036232741801
1114403490213
127032331a61
1335557400b9
141a7a11dd7b
15e20dd7301
hex86fa3c3a9

36232741801 has 9 divisors (see below), whose sum is σ = 38492890149. Its totient is φ = 34098358464.

The previous prime is 36232741789. The next prime is 36232741819. The reversal of 36232741801 is 10814723263.

It is a happy number.

The square root of 36232741801 is 190349.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3426201 + 36229315600 = 1851^2 + 190340^2 .

It is not a de Polignac number, because 36232741801 - 213 = 36232733609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36232741861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3230335 + ... + 3241531.

Almost surely, 236232741801 is an apocalyptic number.

36232741801 is the 190349-th square number.

36232741801 is the 95175-th centered octagonal number.

It is an amenable number.

36232741801 is a deficient number, since it is larger than the sum of its proper divisors (2260148348).

36232741801 is an frugal number, since it uses more digits than its factorization.

36232741801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22428 (or 11214 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 36232741801 in words is "thirty-six billion, two hundred thirty-two million, seven hundred forty-one thousand, eight hundred one".

Divisors: 1 17 289 11197 190349 3235933 125372809 2131337753 36232741801