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36807120149 is a prime number
BaseRepresentation
bin100010010001111000…
…000001010100010101
310112000011002102202012
4202101320001110111
51100340110321044
624524200154005
72442054234122
oct422170012425
9115004072665
1036807120149
1114678729168
127172768905
133617737847
141ad2517749
15e5654359e
hex891e01515

36807120149 has 2 divisors, whose sum is σ = 36807120150. Its totient is φ = 36807120148.

The previous prime is 36807120137. The next prime is 36807120239. The reversal of 36807120149 is 94102170863.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35789829124 + 1017291025 = 189182^2 + 31895^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36807120149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36807120949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18403560074 + 18403560075.

It is an arithmetic number, because the mean of its divisors is an integer number (18403560075).

Almost surely, 236807120149 is an apocalyptic number.

It is an amenable number.

36807120149 is a deficient number, since it is larger than the sum of its proper divisors (1).

36807120149 is an equidigital number, since it uses as much as digits as its factorization.

36807120149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 36807120149 in words is "thirty-six billion, eight hundred seven million, one hundred twenty thousand, one hundred forty-nine".