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6640213536 = 2532114015227
BaseRepresentation
bin1100010111100100…
…11001111000100000
3122010202201210112200
412023302121320200
5102044343313121
63014522453200
7323356612065
oct61362317040
918122653480
106640213536
1128a8255790
121353964200
1381a904448
1446dc62c6c
1528ce4aa26
hex18bc99e20

6640213536 has 144 divisors (see below), whose sum is σ = 20655075168. Its totient is φ = 2006784000.

The previous prime is 6640213529. The next prime is 6640213577. The reversal of 6640213536 is 6353120466.

6640213536 is a `hidden beast` number, since 6 + 640 + 2 + 1 + 3 + 5 + 3 + 6 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6640213536.

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, 1267755 + ... + 1272981.

It is an arithmetic number, because the mean of its divisors is an integer number (143438022).

Almost surely, 26640213536 is an apocalyptic number.

6640213536 is a gapful number since it is divisible by the number (66) 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 6640213536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10327537584).

6640213536 is an abundant number, since it is smaller than the sum of its proper divisors (14014861632).

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

6640213536 is a wasteful number, since it uses less digits than its factorization.

6640213536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5655 (or 5644 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 6640213536 is about 81487.5053980670. The cubic root of 6640213536 is about 1879.5794230462.

The spelling of 6640213536 in words is "six billion, six hundred forty million, two hundred thirteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 401 528 792 802 1056 1203 1584 1604 2406 3168 3208 3609 4411 4812 5227 6416 7218 8822 9624 10454 12832 13233 14436 15681 17644 19248 20908 26466 28872 31362 35288 38496 39699 41816 47043 52932 57497 57744 62724 70576 79398 83632 94086 105864 114994 115488 125448 141152 158796 167264 172491 188172 211728 229988 250896 317592 344982 376344 423456 459976 501792 517473 635184 689964 752688 919952 1034946 1270368 1379928 1505376 1839904 2069892 2096027 2759856 4139784 4192054 5519712 6288081 8279568 8384108 12576162 16559136 16768216 18864243 23056297 25152324 33536432 37728486 46112594 50304648 67072864 69168891 75456972 92225188 100609296 138337782 150913944 184450376 201218592 207506673 276675564 301827888 368900752 415013346 553351128 603655776 737801504 830026692 1106702256 1660053384 2213404512 3320106768 6640213536