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6938851680 = 2532519253613
BaseRepresentation
bin1100111011001011…
…00111100101100000
3122220120200012001200
412131211213211200
5103202321223210
63104311401200
7333644160165
oct63545474540
918816605050
106938851680
112a40889a72
121417983200
138677463c7
1449b7a006c
152a928b0c0
hex19d967960

6938851680 has 144 divisors (see below), whose sum is σ = 24925183920. Its totient is φ = 1752966144.

The previous prime is 6938851651. The next prime is 6938851691. The reversal of 6938851680 is 861588396.

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

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 23 ways as a sum of consecutive naturals, for example, 99447 + ... + 154166.

It is an arithmetic number, because the mean of its divisors is an integer number (173091555).

Almost surely, 26938851680 is an apocalyptic number.

6938851680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6938851680 is an abundant number, since it is smaller than the sum of its proper divisors (17986332240).

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

6938851680 is a wasteful number, since it uses less digits than its factorization.

6938851680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253653 (or 253642 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 6938851680 is about 83299.7699876776. The cubic root of 6938851680 is about 1907.3447639982.

The spelling of 6938851680 in words is "six billion, nine hundred thirty-eight million, eight hundred fifty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5472 6840 9120 13680 27360 253613 507226 760839 1014452 1268065 1521678 2028904 2282517 2536130 3043356 3804195 4057808 4565034 4818647 5072260 6086712 7608390 8115616 9130068 9637294 10144520 11412585 12173424 14455941 15216780 18260136 19274588 20289040 22825170 24093235 24346848 28911882 30433560 36520272 38549176 40578080 43367823 45650340 48186470 57823764 60867120 72279705 73040544 77098352 86735646 91300680 96372940 115647528 121734240 144559410 154196704 173471292 182601360 192745880 216839115 231295056 289118820 346942584 365202720 385491760 433678230 462590112 578237640 693885168 770983520 867356460 1156475280 1387770336 1734712920 2312950560 3469425840 6938851680