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212456426501 = 111741216112823
BaseRepresentation
bin1100010111011101100…
…0111100110000000101
3202022101110020201022002
43011313120330300011
511440102321122001
6241333502315045
721230603554154
oct3056730746005
9668343221262
10212456426501
1182114128860
1235213288a85
131705abc0847
14a3d659159b
1557d6d0246b
hex317763cc05

212456426501 has 32 divisors (see below), whose sum is σ = 251525627136. Its totient is φ = 177251328000.

The previous prime is 212456426489. The next prime is 212456426537. The reversal of 212456426501 is 105624654212.

212456426501 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 212456426501 - 210 = 212456425477 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212456426561) 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 in 31 ways as a sum of consecutive naturals, for example, 16561976 + ... + 16574798.

It is an arithmetic number, because the mean of its divisors is an integer number (7860175848).

Almost surely, 2212456426501 is an apocalyptic number.

It is an amenable number.

212456426501 is a deficient number, since it is larger than the sum of its proper divisors (39069200635).

212456426501 is a wasteful number, since it uses less digits than its factorization.

212456426501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15053.

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 212456426501 in words is "two hundred twelve billion, four hundred fifty-six million, four hundred twenty-six thousand, five hundred one".

Divisors: 1 11 17 41 187 451 697 2161 7667 12823 23771 36737 88601 141053 217991 404107 525743 974611 1506217 2397901 5783173 8937631 16568387 27710503 98313941 304815533 471078551 1136130623 5181864061 12497436853 19314220591 212456426501