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5768008675 = 5211139531693
BaseRepresentation
bin1010101111100110…
…01101001111100011
3112212222112012101221
411113303031033203
543303102234200
62352204235511
7262636156552
oct52763151743
915788465357
105768008675
11249a988320
12114b83bb97
1370bcc02b0
143ca09dd99
1523b5ae91a
hex157ccd3e3

5768008675 has 48 divisors (see below), whose sum is σ = 8416523808. Its totient is φ = 3865881600.

The previous prime is 5768008669. The next prime is 5768008711.

5768008675 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5768008675 - 23 = 5768008667 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3406129 + ... + 3407821.

It is an arithmetic number, because the mean of its divisors is an integer number (175344246).

Almost surely, 25768008675 is an apocalyptic number.

5768008675 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5768008675 is a deficient number, since it is larger than the sum of its proper divisors (2648515133).

5768008675 is a wasteful number, since it uses less digits than its factorization.

5768008675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2680 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 52.

The square root of 5768008675 is about 75947.4072961020. The cubic root of 5768008675 is about 1793.3923035577.

The spelling of 5768008675 in words is "five billion, seven hundred sixty-eight million, eight thousand, six hundred seventy-five".

Divisors: 1 5 11 13 25 55 65 143 275 325 715 953 1693 3575 4765 8465 10483 12389 18623 22009 23825 42325 52415 61945 93115 110045 136279 242099 262075 309725 465575 550225 681395 1210495 1613429 3406975 6052475 8067145 17747719 20974577 40335725 88738595 104872885 230720347 443692975 524364425 1153601735 5768008675