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42474375460 = 225111071804349
BaseRepresentation
bin100111100011101010…
…111000100100100100
311001122010000211112001
4213203222320210210
51143441420003320
631302405135044
73032361143266
oct474352704444
9131563024461
1042474375460
111701674aa40
1282946ba484
13400b8ac45a
1420ad06bb36
151188d5020a
hex9e3ab8924

42474375460 has 48 divisors (see below), whose sum is σ = 98214379200. Its totient is φ = 15300871040.

The previous prime is 42474375451. The next prime is 42474375467. The reversal of 42474375460 is 6457347424.

It is a happy number.

It is a super-3 number, since 3×424743754603 (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 42474375460.

It is not an unprimeable number, because it can be changed into a prime (42474375467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 878635 + ... + 925714.

It is an arithmetic number, because the mean of its divisors is an integer number (2046132900).

Almost surely, 242474375460 is an apocalyptic number.

It is an amenable number.

42474375460 is an abundant number, since it is smaller than the sum of its proper divisors (55740003740).

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

42474375460 is a wasteful number, since it uses less digits than its factorization.

42474375460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804476 (or 1804474 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 46.

The spelling of 42474375460 in words is "forty-two billion, four hundred seventy-four million, three hundred seventy-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 214 220 428 535 1070 1177 2140 2354 4708 5885 11770 23540 1804349 3608698 7217396 9021745 18043490 19847839 36086980 39695678 79391356 99239195 193065343 198478390 386130686 396956780 772261372 965326715 1930653430 2123718773 3861306860 4247437546 8494875092 10618593865 21237187730 42474375460