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42364533416364 = 22324736313689509
BaseRepresentation
bin10011010000111110000101…
…11101110010000110101100
312120000000021011201002220200
421220133002331302012230
521023100031023310424
6230033555321313500
711631510426340245
oct1150370275620654
9176000234632820
1042364533416364
1112553774744005
124902644635890
131a83c5c6913b3
14a66650a87ccc
154d6eeaaea8c9
hex2687c2f721ac

42364533416364 has 72 divisors (see below), whose sum is σ = 109369767299520. Its totient is φ = 13820652801792.

The previous prime is 42364533416323. The next prime is 42364533416369. The reversal of 42364533416364 is 46361433546324.

42364533416364 is a `hidden beast` number, since 4 + 2 + 3 + 6 + 4 + 533 + 41 + 6 + 3 + 64 = 666.

42364533416364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42364533416364.

It is not an unprimeable number, because it can be changed into a prime (42364533416369) 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 23 ways as a sum of consecutive naturals, for example, 61096842 + ... + 61786350.

Almost surely, 242364533416364 is an apocalyptic number.

It is an amenable number.

42364533416364 is an abundant number, since it is smaller than the sum of its proper divisors (67005233883156).

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

42364533416364 is a wasteful number, since it uses less digits than its factorization.

42364533416364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725879 (or 725874 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 54.

The spelling of 42364533416364 in words is "forty-two trillion, three hundred sixty-four billion, five hundred thirty-three million, four hundred sixteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 36313 72626 108939 145252 217878 326817 435756 653634 689509 1307268 1379018 1706711 2068527 2758036 3413422 4137054 5120133 6205581 6826844 8274108 10240266 12411162 15360399 20480532 24822324 30720798 32406923 61441596 64813846 97220769 129627692 194441538 291662307 388883076 583324614 1166649228 25038140317 50076280634 75114420951 100152561268 150228841902 225343262853 300457683804 450686525706 901373051412 1176792594899 2353585189798 3530377784697 4707170379596 7060755569394 10591133354091 14121511138788 21182266708182 42364533416364