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2468885688 = 2332192378467
BaseRepresentation
bin1001001100101000…
…0011010010111000
320101001122101110200
42103022003102320
520024013320223
61044552442200
7115116116313
oct22312032270
96331571420
102468885688
1110576923a5
1258a9a9360
13304657209
14195c7197a
15e6b31a43
hex932834b8

2468885688 has 96 divisors (see below), whose sum is σ = 7344604800. Its totient is φ = 745740864.

The previous prime is 2468885677. The next prime is 2468885729. The reversal of 2468885688 is 8865888642.

2468885688 is a `hidden beast` number, since 2 + 4 + 68 + 8 + 8 + 568 + 8 = 666.

It is a super-2 number, since 2×24688856882 = 12190793080822466688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 7770 + ... + 70697.

It is an arithmetic number, because the mean of its divisors is an integer number (76506300).

Almost surely, 22468885688 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 2468885688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672302400).

2468885688 is an abundant number, since it is smaller than the sum of its proper divisors (4875719112).

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

2468885688 is a wasteful number, since it uses less digits than its factorization.

2468885688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78521 (or 78514 counting only the distinct ones).

The product of its digits is 47185920, while the sum is 63.

The square root of 2468885688 is about 49687.8827079601. The cubic root of 2468885688 is about 1351.5548045180.

The spelling of 2468885688 in words is "two billion, four hundred sixty-eight million, eight hundred eighty-five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 23 24 36 38 46 57 69 72 76 92 114 138 152 171 184 207 228 276 342 414 437 456 552 684 828 874 1311 1368 1656 1748 2622 3496 3933 5244 7866 10488 15732 31464 78467 156934 235401 313868 470802 627736 706203 941604 1412406 1490873 1804741 1883208 2824812 2981746 3609482 4472619 5414223 5649624 5963492 7218964 8945238 10828446 11926984 13417857 14437928 16242669 17890476 21656892 26835714 32485338 34290079 35780952 43313784 53671428 64970676 68580158 102870237 107342856 129941352 137160316 205740474 274320632 308610711 411480948 617221422 822961896 1234442844 2468885688