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345744727447543 = 231013971367927407
BaseRepresentation
bin100111010011100111111011…
…1101010011001011111110111
31200100011212120112001212200221
41032213033313222121133313
5330304140200211310133
63223200533550515211
7132553142441256214
oct11647176752313767
91610155515055627
10345744727447543
11a018a574109026
123293b789805b07
1311abc784804058
1461541c3d60b0b
1529e89318a6a2d
hex13a73f7a997f7

345744727447543 has 32 divisors (see below), whose sum is σ = 365306944757760. Its totient is φ = 326577394281600.

The previous prime is 345744727447523. The next prime is 345744727447601.

345744727447543 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 345744727447543 - 221 = 345744725350391 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 (345744727447523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12615184146 + ... + 12615211552.

It is an arithmetic number, because the mean of its divisors is an integer number (11415842023680).

Almost surely, 2345744727447543 is an apocalyptic number.

345744727447543 is a deficient number, since it is larger than the sum of its proper divisors (19562217310217).

345744727447543 is a wasteful number, since it uses less digits than its factorization.

345744727447543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41607.

The product of its digits is 4425523200, while the sum is 70.

The spelling of 345744727447543 in words is "three hundred forty-five trillion, seven hundred forty-four billion, seven hundred twenty-seven million, four hundred forty-seven thousand, five hundred forty-three".

Divisors: 1 23 101 397 2323 9131 13679 27407 40097 314617 630361 922231 1381579 2768107 5430563 10880579 31776317 63666461 124902949 250253317 374900353 548486863 1098938479 8622708119 12615197849 25275585017 37864935653 148835440141 870893520019 3423215123243 15032379454241 345744727447543