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54347274345 = 3571323062681
BaseRepresentation
bin110010100111010110…
…011001100001101001
312012021112222120220210
4302213112121201221
51342300400234340
640544454411333
73632530131660
oct624726314151
9165245876823
1054347274345
112105968a671
12a648960b49
135181601b00
1428b7c41dd7
151631366180
hexca7599869

54347274345 has 48 divisors (see below), whose sum is σ = 107610394752. Its totient is φ = 22933347840.

The previous prime is 54347274341. The next prime is 54347274349.

54347274345 is nontrivially palindromic in base 10.

54347274345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54347274341) and next prime (54347274349).

It is not a de Polignac number, because 54347274345 - 22 = 54347274341 is a prime.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54347274294 and 54347274303.

It is not an unprimeable number, because it can be changed into a prime (54347274341) 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, 1513596 + ... + 1549085.

It is an arithmetic number, because the mean of its divisors is an integer number (2241883224).

Almost surely, 254347274345 is an apocalyptic number.

It is an amenable number.

54347274345 is a deficient number, since it is larger than the sum of its proper divisors (53263120407).

54347274345 is a wasteful number, since it uses less digits than its factorization.

54347274345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3062722 (or 3062709 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 48.

The spelling of 54347274345 in words is "fifty-four billion, three hundred forty-seven million, two hundred seventy-four thousand, three hundred forty-five".

Divisors: 1 3 5 7 13 15 21 35 39 65 91 105 169 195 273 455 507 845 1183 1365 2535 3549 5915 17745 3062681 9188043 15313405 21438767 39814853 45940215 64316301 107193835 119444559 199074265 278703971 321581505 517593089 597222795 836111913 1393519855 1552779267 2587965445 3623151623 4180559565 7763896335 10869454869 18115758115 54347274345