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54349494345 = 335312418927
BaseRepresentation
bin110010100111011110…
…110111100001001001
312012021201011101012000
4302213132313201021
51342301432304340
640545014141213
73632555036166
oct624736674111
9165251141160
1054349494345
112105a966583
12a649651809
135181bcb413
1428b825d06d
151631653d30
hexca77b7849

54349494345 has 48 divisors (see below), whose sum is σ = 99838920960. Its totient is φ = 28051284960.

The previous prime is 54349494317. The next prime is 54349494349.

It is a happy number.

54349494345 is a `hidden beast` number, since 5 + 434 + 94 + 94 + 34 + 5 = 666.

54349494345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54349494345 - 210 = 54349493321 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 54349494291 and 54349494300.

It is not an unprimeable number, because it can be changed into a prime (54349494349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79729 + ... + 339198.

It is an arithmetic number, because the mean of its divisors is an integer number (2079977520).

Almost surely, 254349494345 is an apocalyptic number.

It is an amenable number.

54349494345 is a deficient number, since it is larger than the sum of its proper divisors (45489426615).

54349494345 is a wasteful number, since it uses less digits than its factorization.

54349494345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419003 (or 418966 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 54349494345 in words is "fifty-four billion, three hundred forty-nine million, four hundred ninety-four thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 31 45 93 135 155 279 465 837 961 1395 2883 4185 4805 8649 14415 25947 43245 129735 418927 1256781 2094635 3770343 6283905 11311029 12986737 18851715 38960211 56555145 64933685 116880633 194801055 350641899 402588847 584403165 1207766541 1753209495 2012944235 3623299623 6038832705 10869898869 18116498115 54349494345