Search a number
-
+
5485038433760 = 255671564132713
BaseRepresentation
bin100111111010001010111…
…0001000111010111100000
3201102100211202111112011202
41033310111301013113200
51204331324314340020
615355443013300332
71104165236265044
oct117642561072740
921370752445152
105485038433760
111825212223886
127470543346a8
1330a310631962
1414d69790c024
1597a29ad2e75
hex4fd15c475e0

5485038433760 has 96 divisors (see below), whose sum is σ = 13153055221152. Its totient is φ = 2161064632320.

The previous prime is 5485038433729. The next prime is 5485038433813. The reversal of 5485038433760 is 673348305845.

It is a junction number, because it is equal to n+sod(n) for n = 5485038433696 and 5485038433705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167655164 + ... + 167687876.

It is an arithmetic number, because the mean of its divisors is an integer number (137010991887).

Almost surely, 25485038433760 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 5485038433760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6576527610576).

5485038433760 is an abundant number, since it is smaller than the sum of its proper divisors (7668016787392).

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

5485038433760 is a wasteful number, since it uses less digits than its factorization.

5485038433760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48436 (or 48428 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 56.

The spelling of 5485038433760 in words is "five trillion, four hundred eighty-five billion, thirty-eight million, four hundred thirty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 536 670 1072 1340 2144 2680 5360 10720 15641 31282 32713 62564 65426 78205 125128 130852 156410 163565 250256 261704 312820 327130 500512 523408 625640 654260 1046816 1047947 1251280 1308520 2095894 2191771 2502560 2617040 4191788 4383542 5234080 5239735 8383576 8767084 10479470 10958855 16767152 17534168 20958940 21917710 33534304 35068336 41917880 43835420 70136672 83835760 87670840 167671520 175341680 350683360 511664033 1023328066 2046656132 2558320165 4093312264 5116640330 8186624528 10233280660 16373249056 20466561320 34281490211 40933122640 68562980422 81866245280 137125960844 171407451055 274251921688 342814902110 548503843376 685629804220 1097007686752 1371259608440 2742519216880 5485038433760