Search a number
-
+
6645956832 = 2532611991901
BaseRepresentation
bin1100011000010000…
…10100000011100000
3122011011112120212100
412030020110003200
5102102331104312
63015245530400
7323456462304
oct61410240340
918134476770
106645956832
112900518809
121355873a00
1381bb65648
14470919d04
1528d6d25dc
hex18c2140e0

6645956832 has 144 divisors (see below), whose sum is σ = 19315951200. Its totient is φ = 2166912000.

The previous prime is 6645956803. The next prime is 6645956833. The reversal of 6645956832 is 2386595466.

6645956832 is a `hidden beast` number, since 6 + 6 + 45 + 9 + 568 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6645956833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3495082 + ... + 3496982.

It is an arithmetic number, because the mean of its divisors is an integer number (134138550).

Almost surely, 26645956832 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 6645956832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9657975600).

6645956832 is an abundant number, since it is smaller than the sum of its proper divisors (12669994368).

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

6645956832 is a wasteful number, since it uses less digits than its factorization.

6645956832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177 (or 2166 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The square root of 6645956832 is about 81522.7381286963. The cubic root of 6645956832 is about 1880.1211661759.

The spelling of 6645956832 in words is "six billion, six hundred forty-five million, nine hundred fifty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 199 244 288 366 398 488 549 597 732 796 976 1098 1194 1464 1592 1791 1901 1952 2196 2388 2928 3184 3582 3802 4392 4776 5703 5856 6368 7164 7604 8784 9552 11406 12139 14328 15208 17109 17568 19104 22812 24278 28656 30416 34218 36417 45624 48556 57312 60832 68436 72834 91248 97112 109251 115961 136872 145668 182496 194224 218502 231922 273744 291336 347883 378299 388448 437004 463844 547488 582672 695766 756598 874008 927688 1043649 1134897 1165344 1391532 1513196 1748016 1855376 2087298 2269794 2783064 3026392 3404691 3496032 3710752 4174596 4539588 5566128 6052784 6809382 8349192 9079176 11132256 12105568 13618764 16698384 18158352 23076239 27237528 33396768 36316704 46152478 54475056 69228717 92304956 108950112 138457434 184609912 207686151 276914868 369219824 415372302 553829736 738439648 830744604 1107659472 1661489208 2215318944 3322978416 6645956832