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42455479338018 = 232372392053129919
BaseRepresentation
bin10011010011100111011111…
…10000111100010000100010
312120022201000100111121121100
421221303233300330100202
521031042310202304033
6230143440012135230
711641210233043005
oct1151635760742042
9176281010447540
1042455479338018
11125892a430202a
1249181a6167516
131a8c6c4468016
14a6abdb45753c
154d9570025513
hex269cefc3c422

42455479338018 has 96 divisors (see below), whose sum is σ = 94915228262400. Its totient is φ = 13704947964288.

The previous prime is 42455479338017. The next prime is 42455479338037. The reversal of 42455479338018 is 81083397455424.

It is a happy number.

42455479338018 is a `hidden beast` number, since 4 + 2 + 4 + 5 + 547 + 9 + 3 + 3 + 80 + 1 + 8 = 666.

42455479338018 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42455479338017) 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 47 ways as a sum of consecutive naturals, for example, 326719263 + ... + 326849181.

It is an arithmetic number, because the mean of its divisors is an integer number (988700294400).

Almost surely, 242455479338018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42455479338018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47457614131200).

42455479338018 is an abundant number, since it is smaller than the sum of its proper divisors (52459748924382).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42455479338018 is a wasteful number, since it uses less digits than its factorization.

42455479338018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132256 (or 132253 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 42455479338018 in words is "forty-two trillion, four hundred fifty-five billion, four hundred seventy-nine million, three hundred thirty-eight thousand, eighteen".

Divisors: 1 2 3 6 9 18 37 74 111 222 239 333 478 666 717 1434 2053 2151 4106 4302 6159 8843 12318 17686 18477 26529 36954 53058 75961 79587 129919 151922 159174 227883 259838 389757 455766 490667 683649 779514 981334 1169271 1367298 1472001 2338542 2944002 4416003 4807003 8832006 9614006 14421009 18154679 28842018 31050641 36309358 43263027 54464037 62101282 86526054 93151923 108928074 163392111 186303846 266723707 279455769 326784222 533447414 558911538 800171121 1148873717 1600342242 2297747434 2400513363 3446621151 4801026726 6893242302 9868777159 10339863453 19737554318 20679726906 29606331477 59212662954 63746965973 88818994431 127493931946 177637988862 191240897919 382481795838 573722693757 1147445387514 2358637741001 4717275482002 7075913223003 14151826446006 21227739669009 42455479338018