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48577878375073 is a prime number
BaseRepresentation
bin10110000101110011010110…
…01011110011101010100001
320100222222222212102111011021
423002321223023303222201
522331344443331000243
6251152211431245441
713142431053152545
oct1302715313635241
9210888885374137
1048577878375073
1114529842a13653
125546875219881
132114b49a21718
14bdd27903ba25
1559394e8996ed
hex2c2e6b2f3aa1

48577878375073 has 2 divisors, whose sum is σ = 48577878375074. Its totient is φ = 48577878375072.

The previous prime is 48577878375031. The next prime is 48577878375097. The reversal of 48577878375073 is 37057387877584.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30977940403089 + 17599937971984 = 5565783^2 + 4195228^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-48577878375073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 48577878374984 and 48577878375002.

It is not a weakly prime, because it can be changed into another prime (48577878375373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 24288939187536 + 24288939187537.

It is an arithmetic number, because the mean of its divisors is an integer number (24288939187537).

Almost surely, 248577878375073 is an apocalyptic number.

It is an amenable number.

48577878375073 is a deficient number, since it is larger than the sum of its proper divisors (1).

48577878375073 is an equidigital number, since it uses as much as digits as its factorization.

48577878375073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7744665600, while the sum is 79.

The spelling of 48577878375073 in words is "forty-eight trillion, five hundred seventy-seven billion, eight hundred seventy-eight million, three hundred seventy-five thousand, seventy-three".