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5235305887242 = 2331937964720809
BaseRepresentation
bin100110000101111000010…
…0011000011011000001010
3200112111020110122201021000
41030023300203003120022
51141233401301342432
615045022154155430
71050144521542044
oct114136043033012
920474213581230
105235305887242
11173930a764372
12706779422b76
132bc8c1ab6782
1414156683aa94
15912b04e957c
hex4c2f08c360a

5235305887242 has 128 divisors (see below), whose sum is σ = 12298210560000. Its totient is φ = 1646264704896.

The previous prime is 5235305887241. The next prime is 5235305887291. The reversal of 5235305887242 is 2427885035325.

5235305887242 is a `hidden beast` number, since 5 + 2 + 3 + 5 + 30 + 588 + 7 + 24 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5235305887241) 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 63 ways as a sum of consecutive naturals, for example, 251578134 + ... + 251598942.

It is an arithmetic number, because the mean of its divisors is an integer number (96079770000).

Almost surely, 25235305887242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5235305887242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6149105280000).

5235305887242 is an abundant number, since it is smaller than the sum of its proper divisors (7062904672758).

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

5235305887242 is a wasteful number, since it uses less digits than its factorization.

5235305887242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21865 (or 21859 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 5235305887242 in words is "five trillion, two hundred thirty-five billion, three hundred five million, eight hundred eighty-seven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 379 513 647 758 1026 1137 1294 1941 2274 3411 3882 5823 6822 7201 10233 11646 12293 14402 17469 20466 20809 21603 24586 34938 36879 41618 43206 62427 64809 73758 110637 124854 129618 187281 194427 221274 245213 331911 374562 388854 395371 490426 561843 663822 735639 790742 1123686 1186113 1471278 2206917 2372226 3558339 4413834 4659047 6620751 7116678 7886611 9318094 10675017 13241502 13463423 13977141 15773222 21350034 23659833 26926846 27954282 40390269 41931423 47319666 70979499 80780538 83862846 121170807 125794269 141958998 149845609 212938497 242341614 251588538 255805037 299691218 363512421 425876994 449536827 511610074 727024842 767415111 899073654 1348610481 1534830222 2302245333 2697220962 4045831443 4604490666 5102637317 6906735999 8091662886 10205274634 13813471998 15307911951 30615823902 45923735853 91847471706 96950109023 137771207559 193900218046 275542415118 290850327069 581700654138 872550981207 1745101962414 2617652943621 5235305887242