Search a number
-
+
5746852864 = 2102321032
BaseRepresentation
bin1010101101000101…
…00000010000000000
3112211111201101002101
411112202200100000
543232143242424
62350131000144
7262261305034
oct52642402000
915744641071
105746852864
112489a48685
121144739054
137077c3a6c
143c73541c4
152397d1344
hex1568a0400

5746852864 has 99 divisors (see below), whose sum is σ = 12127019583. Its totient is φ = 2721810432.

The previous prime is 5746852807. The next prime is 5746852871. The reversal of 5746852864 is 4682586475.

The square root of 5746852864 is 75808.

It is a perfect power (a square), and thus also a powerful number.

Its product of digits (12902400) is a multiple of the sum of its prime divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 55794637 + ... + 55794739.

Almost surely, 25746852864 is an apocalyptic number.

5746852864 is the 75808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5746852864

5746852864 is an abundant number, since it is smaller than the sum of its proper divisors (6380166719).

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

5746852864 is an equidigital number, since it uses as much as digits as its factorization.

5746852864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 128 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 55.

The cubic root of 5746852864 is about 1791.1970254542.

The spelling of 5746852864 in words is "five billion, seven hundred forty-six million, eight hundred fifty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 103 128 184 206 256 368 412 512 529 736 824 1024 1058 1472 1648 2116 2369 2944 3296 4232 4738 5888 6592 8464 9476 10609 11776 13184 16928 18952 21218 23552 26368 33856 37904 42436 52736 54487 67712 75808 84872 105472 108974 135424 151616 169744 217948 244007 270848 303232 339488 435896 488014 541696 606464 678976 871792 976028 1212928 1357952 1743584 1952056 2425856 2715904 3487168 3904112 5431808 5612161 6974336 7808224 10863616 11224322 13948672 15616448 22448644 27897344 31232896 44897288 55794688 62465792 89794576 124931584 179589152 249863168 359178304 718356608 1436713216 2873426432 5746852864