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6639740160 = 28354493851
BaseRepresentation
bin1100010111100001…
…00110010100000000
3122010201211202012020
412023300212110000
5102044233141120
63014504401440
7323352601014
oct61360462400
918121752166
106639740160
1128a7a62069
121353776280
1381a799b41
1446db7c544
1528cda5640
hex18bc26500

6639740160 has 144 divisors (see below), whose sum is σ = 21258417600. Its totient is φ = 1766195200.

The previous prime is 6639740089. The next prime is 6639740179. The reversal of 6639740160 is 610479366.

It is a super-2 number, since 2×66397401602 = 88172298784633651200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1722235 + ... + 1726085.

It is an arithmetic number, because the mean of its divisors is an integer number (147627900).

Almost surely, 26639740160 is an apocalyptic number.

6639740160 is a gapful number since it is divisible by the number (60) 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 6639740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10629208800).

6639740160 is an abundant number, since it is smaller than the sum of its proper divisors (14618677440).

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

6639740160 is a wasteful number, since it uses less digits than its factorization.

6639740160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4324 (or 4310 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 6639740160 is about 81484.6007537621. The cubic root of 6639740160 is about 1879.5347573675.

The spelling of 6639740160 in words is "six billion, six hundred thirty-nine million, seven hundred forty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 449 480 640 768 898 960 1280 1347 1796 1920 2245 2694 3592 3840 3851 4490 5388 6735 7184 7702 8980 10776 11553 13470 14368 15404 17960 19255 21552 23106 26940 28736 30808 35920 38510 43104 46212 53880 57472 57765 61616 71840 77020 86208 92424 107760 114944 115530 123232 143680 154040 172416 184848 215520 231060 246464 287360 308080 344832 369696 431040 462120 492928 574720 616160 739392 862080 924240 985856 1232320 1478784 1724160 1729099 1848480 2464640 2957568 3458198 3696960 4929280 5187297 6916396 7393920 8645495 10374594 13832792 14787840 17290990 20749188 25936485 27665584 34581980 41498376 51872970 55331168 69163960 82996752 103745940 110662336 138327920 165993504 207491880 221324672 276655840 331987008 414983760 442649344 553311680 663974016 829967520 1106623360 1327948032 1659935040 2213246720 3319870080 6639740160