Search a number
-
+
5485645938432 = 28311811800669
BaseRepresentation
bin100111111010011100111…
…1110100011111100000000
3201102102102002121221220210
41033310321332203330000
51204334100330012212
615400023154234120
71104216264061512
oct117647176437400
921372362557823
105485645938432
1118254a4138060
127471a3885940
1330a3a945738a
1414d714489bb2
1597a630d453c
hex4fd39fa3f00

5485645938432 has 144 divisors (see below), whose sum is σ = 15946733013120. Its totient is φ = 1660265164800.

The previous prime is 5485645938419. The next prime is 5485645938463. The reversal of 5485645938432 is 2348395465845.

It is a super-2 number, since 2×54856459384322 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 6450994 + ... + 7251662.

It is an arithmetic number, because the mean of its divisors is an integer number (110741201480).

Almost surely, 25485645938432 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 5485645938432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7973366506560).

5485645938432 is an abundant number, since it is smaller than the sum of its proper divisors (10461087074688).

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

5485645938432 is a wasteful number, since it uses less digits than its factorization.

5485645938432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801510 (or 801496 counting only the distinct ones).

The product of its digits is 497664000, while the sum is 66.

The spelling of 5485645938432 in words is "five trillion, four hundred eighty-five billion, six hundred forty-five million, nine hundred thirty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 811 1056 1408 1622 2112 2433 2816 3244 4224 4866 6488 8448 8921 9732 12976 17842 19464 25952 26763 35684 38928 51904 53526 71368 77856 103808 107052 142736 155712 207616 214104 285472 311424 428208 570944 622848 800669 856416 1141888 1601338 1712832 2283776 2402007 3202676 3425664 4804014 6405352 6851328 8807359 9608028 12810704 17614718 19216056 25621408 26422077 35229436 38432112 51242816 52844154 70458872 76864224 102485632 105688308 140917744 153728448 204971264 211376616 281835488 307456896 422753232 563670976 614913792 649342559 845506464 1127341952 1298685118 1691012928 1948027677 2254683904 2597370236 3382025856 3896055354 5194740472 6764051712 7142768149 7792110708 10389480944 14285536298 15584221416 20778961888 21428304447 28571072596 31168442832 41557923776 42856608894 57142145192 62336885664 83115847552 85713217788 114284290384 124673771328 166231695104 171426435576 228568580768 249347542656 342852871152 457137161536 498695085312 685705742304 914274323072 1371411484608 1828548646144 2742822969216 5485645938432