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6639481632 = 253730732183
BaseRepresentation
bin1100010111011111…
…00111001100100000
3122010201100121120010
412023233213030200
5102044201403012
63014455044520
7323350443210
oct61357471440
918121317503
106639481632
1128a78a5903
121353670740
1381a709274
1446db12240
1528cd53c3c
hex18bbe7320

6639481632 has 96 divisors (see below), whose sum is σ = 19983946752. Its totient is φ = 1890756864.

The previous prime is 6639481603. The next prime is 6639481679. The reversal of 6639481632 is 2361849366.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190213 + ... + 222395.

It is an arithmetic number, because the mean of its divisors is an integer number (208166112).

Almost surely, 26639481632 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 6639481632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9991973376).

6639481632 is an abundant number, since it is smaller than the sum of its proper divisors (13344465120).

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

6639481632 is a wasteful number, since it uses less digits than its factorization.

6639481632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32510 (or 32502 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 48.

The square root of 6639481632 is about 81483.0143772308. The cubic root of 6639481632 is about 1879.5103629054.

The spelling of 6639481632 in words is "six billion, six hundred thirty-nine million, four hundred eighty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 307 336 614 672 921 1228 1842 2149 2456 3684 4298 4912 6447 7368 8596 9824 12894 14736 17192 25788 29472 32183 34384 51576 64366 68768 96549 103152 128732 193098 206304 225281 257464 386196 450562 514928 675843 772392 901124 1029856 1351686 1544784 1802248 2703372 3089568 3604496 5406744 7208992 9880181 10813488 19760362 21626976 29640543 39520724 59281086 69161267 79041448 118562172 138322534 158082896 207483801 237124344 276645068 316165792 414967602 474248688 553290136 829935204 948497376 1106580272 1659870408 2213160544 3319740816 6639481632