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42308608765072 = 241311631083716139
BaseRepresentation
bin10011001111010101111011…
…00110001010110010010000
312112210122220200121110121111
421213222331212022302100
521021141012320440242
6225552150114103104
711624460523550536
oct1147527546126220
9175718820543544
1042308608765072
1112531a86734831
1248b383757aa94
131a7b8b9347b60
14a63a67560156
154d5826053817
hex267abd98ac90

42308608765072 has 80 divisors (see below), whose sum is σ = 88368073456320. Its totient is φ = 19507250843136.

The previous prime is 42308608765063. The next prime is 42308608765103. The reversal of 42308608765072 is 27056780680324.

It is a happy number.

42308608765072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42308608764998 and 42308608765016.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2621505579 + ... + 2621521717.

It is an arithmetic number, because the mean of its divisors is an integer number (1104600918204).

Almost surely, 242308608765072 is an apocalyptic number.

It is an amenable number.

42308608765072 is an abundant number, since it is smaller than the sum of its proper divisors (46059464691248).

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

42308608765072 is a wasteful number, since it uses less digits than its factorization.

42308608765072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28160 (or 28154 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 58.

The spelling of 42308608765072 in words is "forty-two trillion, three hundred eight billion, six hundred eight million, seven hundred sixty-five thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 1163 2326 4652 9304 10837 15119 16139 18608 21674 30238 32278 43348 60476 64556 86696 120952 129112 140881 173392 209807 241904 258224 281762 419614 563524 839228 1127048 1678456 2254096 3356912 12603431 18769657 25206862 37539314 50413724 75078628 100827448 150157256 163844603 174898343 201654896 244005541 300314512 327689206 349796686 488011082 655378412 699593372 976022164 1310756824 1399186744 1952044328 2273678459 2621513648 2798373488 3904088656 4547356918 9094713836 18189427672 36378855344 203406772909 406813545818 813627091636 1627254183272 2644288047817 3254508366544 5288576095634 10577152191268 21154304382536 42308608765072