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4313315575116 = 22331091015936067
BaseRepresentation
bin111110110001000101101…
…001001000010101001100
3120021100102101020000211000
4332301011221020111030
51031132132241400431
613101302042100300
7623424660312252
oct76610551102514
916240371200730
104313315575116
1114132a32155a9
12597b487aa690
132539894bb172
1410caa0ab65d2
15772ec6549e6
hex3ec45a4854c

4313315575116 has 96 divisors (see below), whose sum is σ = 11286687104000. Its totient is φ = 1424401568064.

The previous prime is 4313315575057. The next prime is 4313315575181. The reversal of 4313315575116 is 6115755133134.

4313315575116 is a `hidden beast` number, since 4 + 3 + 1 + 3 + 31 + 557 + 51 + 16 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119573715 + ... + 119609781.

Almost surely, 24313315575116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4313315575116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5643343552000).

4313315575116 is an abundant number, since it is smaller than the sum of its proper divisors (6973371528884).

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

4313315575116 is a wasteful number, since it uses less digits than its factorization.

4313315575116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46348 (or 46340 counting only the distinct ones).

The product of its digits is 567000, while the sum is 45.

The spelling of 4313315575116 in words is "four trillion, three hundred thirteen billion, three hundred fifteen million, five hundred seventy-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 109 218 327 436 654 981 1308 1962 2943 3924 5886 10159 11772 20318 30477 36067 40636 60954 72134 91431 108201 121908 144268 182862 216402 274293 324603 365724 432804 548586 649206 973809 1097172 1107331 1298412 1947618 2214662 3321993 3895236 3931303 4429324 6643986 7862606 9965979 11793909 13287972 15725212 19931958 23587818 29897937 35381727 39863916 47175636 59795874 70763454 106145181 119591748 141526908 212290362 366404653 424580724 732809306 1099213959 1465618612 2198427918 3297641877 4396855836 6595283754 9892925631 13190567508 19785851262 39571702524 39938107177 79876214354 119814321531 159752428708 239628643062 359442964593 479257286124 718885929186 1078328893779 1437771858372 2156657787558 4313315575116