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3332054656 = 27736710133
BaseRepresentation
bin1100011010011011…
…0001111010000000
322121012211220200201
43012212301322000
523311001222111
61310345254544
7145366666030
oct30646617200
98535756621
103332054656
11145a948a87
1278ba94454
13411426598
142387618c0
151477d56c1
hexc69b1e80

3332054656 has 64 divisors (see below), whose sum is σ = 7607796480. Its totient is φ = 1423991808.

The previous prime is 3332054629. The next prime is 3332054669. The reversal of 3332054656 is 6564502333.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×33320546562 = 22205176461142556672, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 323766 + ... + 333898.

It is an arithmetic number, because the mean of its divisors is an integer number (118871820).

Almost surely, 23332054656 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 3332054656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3803898240).

3332054656 is an abundant number, since it is smaller than the sum of its proper divisors (4275741824).

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

3332054656 is a wasteful number, since it uses less digits than its factorization.

3332054656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10521 (or 10509 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 37.

The square root of 3332054656 is about 57723.9521862459. The cubic root of 3332054656 is about 1493.6105487343.

Adding to 3332054656 its reverse (6564502333), we get a palindrome (9896556989).

The spelling of 3332054656 in words is "three billion, three hundred thirty-two million, fifty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 367 448 734 896 1468 2569 2936 5138 5872 10133 10276 11744 20266 20552 23488 40532 41104 46976 70931 81064 82208 141862 162128 164416 283724 324256 328832 567448 648512 1134896 1297024 2269792 3718811 4539584 7437622 9079168 14875244 26031677 29750488 52063354 59500976 104126708 119001952 208253416 238003904 416506832 476007808 833013664 1666027328 3332054656