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36926973073057 is a prime number
BaseRepresentation
bin10000110010101101110110…
…00111001101011010100001
311211202011222020121110211111
420121112323013031122201
514320002420101314212
6210312003420143321
710530612550125034
oct1031267307153241
9154664866543744
1036926973073057
1110847706685311
124184840697b41
13177b27749b6b2
149193bc99501b
1544084e2a4ea7
hex2195bb1cd6a1

36926973073057 has 2 divisors, whose sum is σ = 36926973073058. Its totient is φ = 36926973073056.

The previous prime is 36926973073049. The next prime is 36926973073063. The reversal of 36926973073057 is 75037037962963.

36926973073057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35986453274641 + 940519798416 = 5998871^2 + 969804^2 .

It is a cyclic number.

It is not a de Polignac number, because 36926973073057 - 23 = 36926973073049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36926973072983 and 36926973073001.

It is not a weakly prime, because it can be changed into another prime (36926973076057) 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 as a sum of consecutive naturals, namely, 18463486536528 + 18463486536529.

It is an arithmetic number, because the mean of its divisors is an integer number (18463486536529).

Almost surely, 236926973073057 is an apocalyptic number.

It is an amenable number.

36926973073057 is a deficient number, since it is larger than the sum of its proper divisors (1).

36926973073057 is an equidigital number, since it uses as much as digits as its factorization.

36926973073057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270050760, while the sum is 67.

The spelling of 36926973073057 in words is "thirty-six trillion, nine hundred twenty-six billion, nine hundred seventy-three million, seventy-three thousand, fifty-seven".