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6704377703680 = 285171392216587
BaseRepresentation
bin110000110001111110000…
…0011010010110100000000
3212201221011121110100010111
41201203330003102310000
51334321031143004210
622131540521441104
71261242505131166
oct141437403226400
925657147410114
106704377703680
112155346481678
1290342a640194
133982b2754337
141926ca687236
15b95e252288a
hex618fc0d2d00

6704377703680 has 144 divisors (see below), whose sum is σ = 17126068196160. Its totient is φ = 2505841606656.

The previous prime is 6704377703677. The next prime is 6704377703729. The reversal of 6704377703680 is 863077734076.

It is a congruent number.

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, 1916347 + ... + 4132933.

It is an arithmetic number, because the mean of its divisors is an integer number (118931029140).

Almost surely, 26704377703680 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 6704377703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8563034098080).

6704377703680 is an abundant number, since it is smaller than the sum of its proper divisors (10421690492480).

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

6704377703680 is a wasteful number, since it uses less digits than its factorization.

6704377703680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216764 (or 2216750 counting only the distinct ones).

The product of its (nonzero) digits is 24893568, while the sum is 58.

The spelling of 6704377703680 in words is "six trillion, seven hundred four billion, three hundred seventy-seven million, seven hundred three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 139 160 170 256 272 278 320 340 544 556 640 680 695 1088 1112 1280 1360 1390 2176 2224 2363 2720 2780 4352 4448 4726 5440 5560 8896 9452 10880 11120 11815 17792 18904 21760 22240 23630 35584 37808 44480 47260 75616 88960 94520 151232 177920 189040 302464 378080 604928 756160 1512320 2216587 3024640 4433174 8866348 11082935 17732696 22165870 35465392 37681979 44331740 70930784 75363958 88663480 141861568 150727916 177326960 188409895 283723136 301455832 308105593 354653920 376819790 567446272 602911664 616211186 709307840 753639580 1205823328 1232422372 1418615680 1507279160 1540527965 2411646656 2464844744 2837231360 3014558320 3081055930 4823293312 4929689488 5237795081 6029116640 6162111860 9646586624 9859378976 10475590162 12058233280 12324223720 19718757952 20951180324 24116466560 24648447440 26188975405 39437515904 41902360648 48232933120 49296894880 52377950810 78875031808 83804721296 98593789760 104755901620 167609442592 197187579520 209511803240 335218885184 394375159040 419023606480 670437770368 838047212960 1340875540736 1676094425920 3352188851840 6704377703680