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6644897056 = 257219673329
BaseRepresentation
bin1100011000001000…
…10001010100100000
3122011002112202010101
412030010101110200
5102102043201211
63015211112144
7323444456500
oct61404212440
918132482111
106644897056
1128aa964566
121355442654
1381b884165
14470721a00
1528d5735c1
hex18c111520

6644897056 has 144 divisors (see below), whose sum is σ = 16262920800. Its totient is φ = 2656862208.

The previous prime is 6644897011. The next prime is 6644897111. The reversal of 6644897056 is 6507984466.

It is a junction number, because it is equal to n+sod(n) for n = 6644896988 and 6644897006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1994400 + ... + 1997728.

It is an arithmetic number, because the mean of its divisors is an integer number (112936950).

Almost surely, 26644897056 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 6644897056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8131460400).

6644897056 is an abundant number, since it is smaller than the sum of its proper divisors (9618023744).

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

6644897056 is a wasteful number, since it uses less digits than its factorization.

6644897056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3439 (or 3424 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The square root of 6644897056 is about 81516.2379897404. The cubic root of 6644897056 is about 1880.0212250508.

The spelling of 6644897056 in words is "six billion, six hundred forty-four million, eight hundred ninety-seven thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 67 76 98 112 133 134 152 196 224 266 268 304 392 469 532 536 608 784 931 938 1064 1072 1273 1568 1862 1876 2128 2144 2546 3283 3329 3724 3752 4256 5092 6566 6658 7448 7504 8911 10184 13132 13316 14896 15008 17822 20368 23303 26264 26632 29792 35644 40736 46606 52528 53264 62377 63251 71288 93212 105056 106528 124754 126502 142576 163121 186424 223043 249508 253004 285152 326242 372848 442757 446086 499016 506008 652484 745696 885514 892172 998032 1012016 1304968 1561301 1771028 1784344 1996064 2024032 2609936 3099299 3122602 3542056 3568688 4237817 5219872 6198598 6245204 7084112 7137376 8475634 10929107 12397196 12490408 14168224 16951268 21858214 24794392 24980816 29664719 33902536 43716428 49588784 49961632 59329438 67805072 87432856 99177568 118658876 135610144 174865712 207653033 237317752 349731424 415306066 474635504 830612132 949271008 1661224264 3322448528 6644897056