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6662674944 = 29325327281
BaseRepresentation
bin1100011010010000…
…00101101000000000
3122012022222221210200
412031020011220000
5102121121044234
63021044125200
7324051542202
oct61510055000
918168887720
106662674944
1129099a7332
12135b396800
1382246a013
14472c2c772
1528edd5d99
hex18d205a00

6662674944 has 120 divisors (see below), whose sum is σ = 19592459172. Its totient is φ = 2178908160.

The previous prime is 6662674873. The next prime is 6662674951. The reversal of 6662674944 is 4494762666.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6234681600 + 427993344 = 78960^2 + 20688^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 230584 + ... + 257864.

Almost surely, 26662674944 is an apocalyptic number.

6662674944 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6662674944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9796229586).

6662674944 is an abundant number, since it is smaller than the sum of its proper divisors (12929784228).

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

6662674944 is a wasteful number, since it uses less digits than its factorization.

6662674944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27358 (or 27339 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The square root of 6662674944 is about 81625.2102233127. The cubic root of 6662674944 is about 1881.6963472808.

The spelling of 6662674944 in words is "six billion, six hundred sixty-two million, six hundred seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 256 288 318 384 424 477 512 576 636 768 848 954 1152 1272 1536 1696 1908 2304 2544 3392 3816 4608 5088 6784 7632 10176 13568 15264 20352 27136 27281 30528 40704 54562 61056 81408 81843 109124 122112 163686 218248 244224 245529 327372 436496 491058 654744 872992 982116 1309488 1445893 1745984 1964232 2618976 2891786 3491968 3928464 4337679 5237952 5783572 6983936 7856928 8675358 10475904 11567144 13013037 13967872 15713856 17350716 20951808 23134288 26026074 31427712 34701432 41903616 46268576 52052148 62855424 69402864 92537152 104104296 125710848 138805728 185074304 208208592 277611456 370148608 416417184 555222912 740297216 832834368 1110445824 1665668736 2220891648 3331337472 6662674944