Search a number
-
+
6639706400 = 255247917327
BaseRepresentation
bin1100010111100000…
…11110000100100000
3122010201210000212212
412023300132010200
5102044231101100
63014503541252
7323352400415
oct61360360440
918121700785
106639706400
1128a7a39768
12135375a828
1381a787672
1446db7010c
1528cd9a635
hex18bc1e120

6639706400 has 72 divisors (see below), whose sum is σ = 16243960320. Its totient is φ = 2650184960.

The previous prime is 6639706399. The next prime is 6639706421. The reversal of 6639706400 is 46079366.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 374537 + ... + 391863.

It is an arithmetic number, because the mean of its divisors is an integer number (225610560).

Almost surely, 26639706400 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 6639706400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8121980160).

6639706400 is an abundant number, since it is smaller than the sum of its proper divisors (9604253920).

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

6639706400 is a wasteful number, since it uses less digits than its factorization.

6639706400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17826 (or 17813 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 41.

The square root of 6639706400 is about 81484.3935977927. The cubic root of 6639706400 is about 1879.5315718412.

The spelling of 6639706400 in words is "six billion, six hundred thirty-nine million, seven hundred six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 479 800 958 1916 2395 3832 4790 7664 9580 11975 15328 17327 19160 23950 34654 38320 47900 69308 76640 86635 95800 138616 173270 191600 277232 346540 383200 433175 554464 693080 866350 1386160 1732700 2772320 3465400 6930800 8299633 13861600 16599266 33198532 41498165 66397064 82996330 132794128 165992660 207490825 265588256 331985320 414981650 663970640 829963300 1327941280 1659926600 3319853200 6639706400