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36872014769 is a prime number
BaseRepresentation
bin100010010101101111…
…100100101110110001
310112011200012102102122
4202111233210232301
51101003213433034
624534435124025
72443502645222
oct422557445661
9115150172378
1036872014769
1114701322487
127190443615
133628009625
141adadab249
15e5c0b162e
hex895be4bb1

36872014769 has 2 divisors, whose sum is σ = 36872014770. Its totient is φ = 36872014768.

The previous prime is 36872014681. The next prime is 36872014813. The reversal of 36872014769 is 96741027863.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21862579600 + 15009435169 = 147860^2 + 122513^2 .

It is an emirp because it is prime and its reverse (96741027863) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36872014769 is a prime.

It is a super-2 number, since 2×368720147692 (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 36872014769.

It is not a weakly prime, because it can be changed into another prime (36872014169) 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 as a sum of consecutive naturals, namely, 18436007384 + 18436007385.

It is an arithmetic number, because the mean of its divisors is an integer number (18436007385).

Almost surely, 236872014769 is an apocalyptic number.

It is an amenable number.

36872014769 is a deficient number, since it is larger than the sum of its proper divisors (1).

36872014769 is an equidigital number, since it uses as much as digits as its factorization.

36872014769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3048192, while the sum is 53.

The spelling of 36872014769 in words is "thirty-six billion, eight hundred seventy-two million, fourteen thousand, seven hundred sixty-nine".