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5730623712 = 2532113834723
BaseRepresentation
bin1010101011001001…
…00110000011100000
3112210101011211212200
411111210212003200
543214014424322
62344351053200
7262003332522
oct52544460340
915711154780
105730623712
112480873460
12113b211200
13704330b08
143c512ba12
152381778ac
hex1559260e0

5730623712 has 144 divisors (see below), whose sum is σ = 17828149248. Its totient is φ = 1731651840.

The previous prime is 5730623693. The next prime is 5730623713. The reversal of 5730623712 is 2173260375.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5730623713) 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 23 ways as a sum of consecutive naturals, for example, 1210983 + ... + 1215705.

It is an arithmetic number, because the mean of its divisors is an integer number (123806592).

Almost surely, 25730623712 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 5730623712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8914074624).

5730623712 is an abundant number, since it is smaller than the sum of its proper divisors (12097525536).

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

5730623712 is a wasteful number, since it uses less digits than its factorization.

5730623712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5133 (or 5122 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 5730623712 is about 75700.8831652577. The cubic root of 5730623712 is about 1789.5093181851.

It can be divided in two parts, 57306 and 23712, that added together give a palindrome (81018).

The spelling of 5730623712 in words is "five billion, seven hundred thirty million, six hundred twenty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 383 396 528 766 792 1056 1149 1532 1584 2298 3064 3168 3447 4213 4596 4723 6128 6894 8426 9192 9446 12256 12639 13788 14169 16852 18384 18892 25278 27576 28338 33704 36768 37784 37917 42507 50556 51953 55152 56676 67408 75568 75834 85014 101112 103906 110304 113352 134816 151136 151668 155859 170028 202224 207812 226704 303336 311718 340056 404448 415624 453408 467577 606672 623436 680112 831248 935154 1213344 1246872 1360224 1662496 1808909 1870308 2493744 3617818 3740616 4987488 5426727 7235636 7481232 10853454 14471272 14962464 16280181 19897999 21706908 28942544 32560362 39795998 43413816 57885088 59693997 65120724 79591996 86827632 119387994 130241448 159183992 173655264 179081991 238775988 260482896 318367984 358163982 477551976 520965792 636735968 716327964 955103952 1432655928 1910207904 2865311856 5730623712