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5302243333872 = 2433233449154723
BaseRepresentation
bin100110100101000011001…
…0101001001011011110000
3200202220000110021022201000
41031022012111021123300
51143332443243140442
615135452244042000
71055034350465502
oct115120625113360
920686013238630
105302243333872
11176473a1507a1
1271773a693300
132c5ccb8b7664
141448b6805d72
1592dcbd0bd4c
hex4d2865496f0

5302243333872 has 160 divisors (see below), whose sum is σ = 15885822528000. Its totient is φ = 1690069252608.

The previous prime is 5302243333853. The next prime is 5302243333903. The reversal of 5302243333872 is 2783333422035.

5302243333872 is a `hidden beast` number, since 5 + 3 + 0 + 2 + 243 + 3 + 338 + 72 = 666.

It is a super-2 number, since 2×53022433338722 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 34191903 + ... + 34346625.

It is an arithmetic number, because the mean of its divisors is an integer number (99286390800).

Almost surely, 25302243333872 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 5302243333872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7942911264000).

5302243333872 is an abundant number, since it is smaller than the sum of its proper divisors (10583579194128).

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

5302243333872 is a wasteful number, since it uses less digits than its factorization.

5302243333872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158212 (or 158200 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 45.

The spelling of 5302243333872 in words is "five trillion, three hundred two billion, two hundred forty-three million, three hundred thirty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 3449 4968 6898 9936 10347 13796 20694 27592 31041 41388 55184 62082 79327 82776 93123 124164 154723 158654 165552 186246 237981 248328 309446 317308 372492 464169 475962 496656 618892 634616 713943 744984 928338 951924 1237784 1269232 1392507 1427886 1489968 1856676 1903848 2141829 2475568 2785014 2855772 3558629 3713352 3807696 4177521 4283658 5570028 5711544 7117258 7426704 8355042 8567316 10675887 11140056 11423088 14234516 16710084 17134632 21351774 22280112 28469032 32027661 33420168 34269264 42703548 56938064 64055322 66840336 85407096 96082983 128110644 170814192 192165966 256221288 384331932 512442576 533639627 768663864 1067279254 1537327728 1600918881 2134558508 3201837762 4269117016 4802756643 6403675524 8538234032 9605513286 12273711421 12807351048 14408269929 19211026572 24547422842 25614702096 28816539858 36821134263 38422053144 49094845684 57633079716 73642268526 76844106288 98189691368 110463402789 115266159432 147284537052 196379382736 220926805578 230532318864 294569074104 331390208367 441853611156 589138148208 662780416734 883707222312 1325560833468 1767414444624 2651121666936 5302243333872