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54373244237345 = 51110131147314257
BaseRepresentation
bin11000101110011110000011…
…11010000111011000100001
321010112000211212201202200102
430113033001322013120201
524111322401011043340
6311350420142432145
714311223452203305
oct1427170172073041
9233460755652612
1054373244237345
1116363621956610
126121a95592655
1324454b4951907
14d5d9714c3d05
1564458d625215
hex3173c1e87621

54373244237345 has 32 divisors (see below), whose sum is σ = 71886804103296. Its totient is φ = 39151269504000.

The previous prime is 54373244237339. The next prime is 54373244237381.

54373244237345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54373244237345 - 232 = 54368949270049 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172864457 + ... + 173178713.

It is an arithmetic number, because the mean of its divisors is an integer number (2246462628228).

Almost surely, 254373244237345 is an apocalyptic number.

54373244237345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54373244237345 is a deficient number, since it is larger than the sum of its proper divisors (17513559865951).

54373244237345 is a wasteful number, since it uses less digits than its factorization.

54373244237345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345521.

The product of its digits is 101606400, while the sum is 56.

The spelling of 54373244237345 in words is "fifty-four trillion, three hundred seventy-three billion, two hundred forty-four million, two hundred thirty-seven thousand, three hundred forty-five".

Divisors: 1 5 11 55 101 505 1111 5555 31147 155735 314257 342617 1571285 1713085 3145847 3456827 15729235 17284135 31739957 34604317 158699785 173021585 349139527 1745697635 9788162779 48940813895 107669790569 538348952845 988604440679 4943022203395 10874648847469 54373244237345