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312049048615933 is a prime number
BaseRepresentation
bin100011011110011101001010…
…0101100011111101111111101
31111220212121010201122112200111
41012330322110230133233331
5311400102422421202213
63023401204240230021
7122504541216035626
oct10674722454375775
91456777121575614
10312049048615933
1190479292929452
122abb924300b311
1310517139719665
14570b37c650a4d
1526121a2847a3d
hex11bce94b1fbfd

312049048615933 has 2 divisors, whose sum is σ = 312049048615934. Its totient is φ = 312049048615932.

The previous prime is 312049048615897. The next prime is 312049048615949. The reversal of 312049048615933 is 339516840940213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 246268303071844 + 65780745544089 = 15692938^2 + 8110533^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312049048615933 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312049048615433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156024524307966 + 156024524307967.

It is an arithmetic number, because the mean of its divisors is an integer number (156024524307967).

Almost surely, 2312049048615933 is an apocalyptic number.

It is an amenable number.

312049048615933 is a deficient number, since it is larger than the sum of its proper divisors (1).

312049048615933 is an equidigital number, since it uses as much as digits as its factorization.

312049048615933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16796160, while the sum is 58.

The spelling of 312049048615933 in words is "three hundred twelve trillion, forty-nine billion, forty-eight million, six hundred fifteen thousand, nine hundred thirty-three".