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3285163680 = 25356844091
BaseRepresentation
bin1100001111001111…
…1001111010100000
322110221121121100220
43003303321322200
523212000214210
61301552243040
7144260300451
oct30363717240
98427547326
103285163680
111436431107
12778240480
134047b9346
14232437128
15143621c70
hexc3cf9ea0

3285163680 has 48 divisors (see below), whose sum is σ = 10348267104. Its totient is φ = 876043520.

The previous prime is 3285163649. The next prime is 3285163709. The reversal of 3285163680 is 863615823.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×32851636802 = 21584600808782284800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 3421566 + ... + 3422525.

It is an arithmetic number, because the mean of its divisors is an integer number (215588898).

Almost surely, 23285163680 is an apocalyptic number.

3285163680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3285163680 is an abundant number, since it is smaller than the sum of its proper divisors (7063103424).

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

3285163680 is a wasteful number, since it uses less digits than its factorization.

3285163680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6844109 (or 6844101 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 3285163680 is about 57316.3474063029. The cubic root of 3285163680 is about 1486.5710498629.

The spelling of 3285163680 in words is "three billion, two hundred eighty-five million, one hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 6844091 13688182 20532273 27376364 34220455 41064546 54752728 68440910 82129092 102661365 109505456 136881820 164258184 205322730 219010912 273763640 328516368 410645460 547527280 657032736 821290920 1095054560 1642581840 3285163680