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5446244736 = 27331997919
BaseRepresentation
bin1010001001001111…
…10001100110000000
3112001120001220021000
411010213301212000
542123214312421
62300231532000
7251651213352
oct50447614600
915046056230
105446244736
112345299309
12107bb2a000
1368a44222a
143994630d2
1521d202226
hex1449f1980

5446244736 has 128 divisors (see below), whose sum is σ = 16156800000. Its totient is φ = 1806064128.

The previous prime is 5446244731. The next prime is 5446244737. The reversal of 5446244736 is 6374426445.

5446244736 is a `hidden beast` number, since 544 + 62 + 4 + 47 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 5446244691 and 5446244700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5446244731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 683785 + ... + 691703.

It is an arithmetic number, because the mean of its divisors is an integer number (126225000).

Almost surely, 25446244736 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 5446244736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8078400000).

5446244736 is an abundant number, since it is smaller than the sum of its proper divisors (10710555264).

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

5446244736 is a wasteful number, since it uses less digits than its factorization.

5446244736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8141 (or 8123 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 45.

The square root of 5446244736 is about 73798.6770613132. The cubic root of 5446244736 is about 1759.4045782012.

The spelling of 5446244736 in words is "five billion, four hundred forty-six million, two hundred forty-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 199 216 288 384 398 432 576 597 796 864 1152 1194 1592 1728 1791 2388 3184 3456 3582 4776 5373 6368 7164 7919 9552 10746 12736 14328 15838 19104 21492 23757 25472 28656 31676 38208 42984 47514 57312 63352 71271 76416 85968 95028 114624 126704 142542 171936 190056 213813 229248 253408 285084 343872 380112 427626 506816 570168 687744 760224 855252 1013632 1140336 1520448 1575881 1710504 2280672 3040896 3151762 3421008 4561344 4727643 6303524 6842016 9122688 9455286 12607048 13684032 14182929 18910572 25214096 27368064 28365858 37821144 42548787 50428192 56731716 75642288 85097574 100856384 113463432 151284576 170195148 201712768 226926864 302569152 340390296 453853728 605138304 680780592 907707456 1361561184 1815414912 2723122368 5446244736