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3648326656 = 21013535171
BaseRepresentation
bin1101100101110101…
…0000110000000000
3100102020222012022111
43121131100300000
524432432423111
61402004145104
7156260156602
oct33135206000
910366865274
103648326656
1116024268a7
12859998194
13461b00990
1426876d172
1516545aa21
hexd9750c00

3648326656 has 88 divisors (see below), whose sum is σ = 8003835504. Its totient is φ = 1651752960.

The previous prime is 3648326653. The next prime is 3648326663. The reversal of 3648326656 is 6566238463.

It is not an unprimeable number, because it can be changed into a prime (3648326653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 702951 + ... + 708121.

Almost surely, 23648326656 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 3648326656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4001917752).

3648326656 is an abundant number, since it is smaller than the sum of its proper divisors (4355508848).

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

3648326656 is a wasteful number, since it uses less digits than its factorization.

3648326656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5257 (or 5239 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 49.

The square root of 3648326656 is about 60401.3795868935. The cubic root of 3648326656 is about 1539.4463990920.

The spelling of 3648326656 in words is "three billion, six hundred forty-eight million, three hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 128 208 212 256 416 424 512 689 832 848 1024 1378 1664 1696 2756 3328 3392 5171 5512 6656 6784 10342 11024 13312 13568 20684 22048 27136 41368 44096 54272 67223 82736 88192 134446 165472 176384 268892 274063 330944 352768 537784 548126 661888 705536 1075568 1096252 1323776 2151136 2192504 2647552 3562819 4302272 4385008 5295104 7125638 8604544 8770016 14251276 17209088 17540032 28502552 34418176 35080064 57005104 68836352 70160128 114010208 140320256 228020416 280640512 456040832 912081664 1824163328 3648326656