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36802201921 = 41246792
BaseRepresentation
bin100010010001100101…
…010000100101000001
310111222210211120012121
4202101211100211001
51100332330430141
624523502524241
72441664361222
oct422145204501
9114883746177
1036802201921
111467597a011
127170b96681
133616705054
141ad19d7249
15e55dc11d1
hex891950941

36802201921 has 9 divisors (see below), whose sum is σ = 37729773283. Its totient is φ = 35896913680.

The previous prime is 36802201913. The next prime is 36802201927. The reversal of 36802201921 is 12910220863.

The square root of 36802201921 is 191839.

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., 1773336321 + 35028865600 = 42111^2 + 187160^2 .

It is not a de Polignac number, because 36802201921 - 23 = 36802201913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36802201927) 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, 7863060 + ... + 7867738.

Almost surely, 236802201921 is an apocalyptic number.

36802201921 is the 191839-th square number.

36802201921 is the 95920-th centered octagonal number.

It is an amenable number.

36802201921 is a deficient number, since it is larger than the sum of its proper divisors (927571362).

36802201921 is an frugal number, since it uses more digits than its factorization.

36802201921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9440 (or 4720 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 36802201921 in words is "thirty-six billion, eight hundred two million, two hundred one thousand, nine hundred twenty-one".

Divisors: 1 41 1681 4679 191839 7865399 21893041 897614681 36802201921