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5757368652 = 223379778511
BaseRepresentation
bin1010101110010101…
…00111100101001100
3112212020111122001000
411113022213211030
543242341244102
62351144220300
7262446553230
oct52712474514
915766448030
105757368652
112494980312
12114816a690
13709a36319
143c88d05c0
1523a6ac01c
hex1572a794c

5757368652 has 96 divisors (see below), whose sum is σ = 17234954240. Its totient is φ = 1627983360.

The previous prime is 5757368627. The next prime is 5757368677. The reversal of 5757368652 is 2568637575.

5757368652 is a `hidden beast` number, since 5 + 7 + 573 + 6 + 8 + 65 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5757368627) and next prime (5757368677).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34077 + ... + 112587.

Almost surely, 25757368652 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 5757368652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8617477120).

5757368652 is an abundant number, since it is smaller than the sum of its proper divisors (11477585588).

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

5757368652 is a wasteful number, since it uses less digits than its factorization.

5757368652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78628 (or 78620 counting only the distinct ones).

The product of its digits is 10584000, while the sum is 54.

The square root of 5757368652 is about 75877.3263366600. The cubic root of 5757368652 is about 1792.2888909482.

The spelling of 5757368652 in words is "five billion, seven hundred fifty-seven million, three hundred sixty-eight thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 97 108 126 189 194 252 291 378 388 582 679 756 873 1164 1358 1746 2037 2619 2716 3492 4074 5238 6111 8148 10476 12222 18333 24444 36666 73332 78511 157022 235533 314044 471066 549577 706599 942132 1099154 1413198 1648731 2119797 2198308 2826396 3297462 4239594 4946193 6594924 7615567 8479188 9892386 14838579 15231134 19784772 22846701 29677158 30462268 45693402 53308969 59354316 68540103 91386804 106617938 137080206 159926907 205620309 213235876 274160412 319853814 411240618 479780721 639707628 822481236 959561442 1439342163 1919122884 2878684326 5757368652