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54705455450745 = 35116193583149489
BaseRepresentation
bin11000111000001000110110…
…01111010100101001111001
321011200210100020201222100020
430130010123033110221321
524132243233043410440
6312203201142001053
714344224120006051
oct1434043317245171
9234623306658306
1054705455450745
11164814a9485230
12617634a416189
13246a918ca1bb8
14d71a885ca561
1564d033ae23d0
hex31c11b3d4a79

54705455450745 has 64 divisors (see below), whose sum is σ = 95667476889600. Its totient is φ = 26473439831040.

The previous prime is 54705455450719. The next prime is 54705455450749.

54705455450745 is nontrivially palindromic in base 10.

54705455450745 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54705455450745 - 28 = 54705455450489 is a prime.

It is a super-2 number, since 2×547054554507452 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54705455450749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 365874961 + ... + 366024449.

It is an arithmetic number, because the mean of its divisors is an integer number (1494804326400).

Almost surely, 254705455450745 is an apocalyptic number.

54705455450745 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54705455450745 is a deficient number, since it is larger than the sum of its proper divisors (40962021438855).

54705455450745 is a wasteful number, since it uses less digits than its factorization.

54705455450745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153710.

The product of its (nonzero) digits is 196000000, while the sum is 60.

The spelling of 54705455450745 in words is "fifty-four trillion, seven hundred five billion, four hundred fifty-five million, four hundred fifty thousand, seven hundred forty-five".

Divisors: 1 3 5 11 15 33 55 165 619 1857 3095 3583 6809 9285 10749 17915 20427 34045 39413 53745 102135 118239 149489 197065 448467 591195 747445 1644379 2217877 2242335 4933137 6653631 8221895 11089385 24396647 24665685 33268155 73189941 92533691 121983235 277601073 365949705 462668455 535619087 1017870601 1388005365 1606857261 2678095435 3053611803 5089353005 5891809957 8034286305 15268059015 17675429871 29459049785 88377149355 331548214853 994644644559 1657741074265 3647030363383 4973223222795 10941091090149 18235151816915 54705455450745