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378756664680 = 233547631106427
BaseRepresentation
bin1011000001011111010…
…10000000110101101000
31100012122012111010022210
411200233222000311220
522201143201232210
6445555353445120
736235641346542
oct5405752006550
91305565433283
10378756664680
111366a2299129
12614a4a107a0
13299414a8544
1414490b0a692
159cbb931e20
hex582fa80d68

378756664680 has 128 divisors (see below), whose sum is σ = 1162295930880. Its totient is φ = 98695215360.

The previous prime is 378756664673. The next prime is 378756664697. The reversal of 378756664680 is 86466657873.

It is a super-2 number, since 2×3787566646802 (a number of 24 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 3505627 + ... + 3612053.

It is an arithmetic number, because the mean of its divisors is an integer number (9080436960).

Almost surely, 2378756664680 is an apocalyptic number.

378756664680 is a gapful number since it is divisible by the number (30) 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 378756664680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581147965440).

378756664680 is an abundant number, since it is smaller than the sum of its proper divisors (783539266200).

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

378756664680 is a wasteful number, since it uses less digits than its factorization.

378756664680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107119 (or 107115 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 66.

The spelling of 378756664680 in words is "three hundred seventy-eight billion, seven hundred fifty-six million, six hundred sixty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 631 705 940 1128 1262 1410 1880 1893 2524 2820 3155 3786 5048 5640 6310 7572 9465 12620 15144 18930 25240 29657 37860 59314 75720 88971 106427 118628 148285 177942 212854 237256 296570 319281 355884 425708 444855 532135 593140 638562 711768 851416 889710 1064270 1186280 1277124 1596405 1779420 2128540 2554248 3192810 3558840 4257080 5002069 6385620 10004138 12771240 15006207 20008276 25010345 30012414 40016552 50020690 60024828 67155437 75031035 100041380 120049656 134310874 150062070 200082760 201466311 268621748 300124140 335777185 402932622 537243496 600248280 671554370 805865244 1007331555 1343108740 1611730488 2014663110 2686217480 3156305539 4029326220 6312611078 8058652440 9468916617 12625222156 15781527695 18937833234 25250444312 31563055390 37875666468 47344583085 63126110780 75751332936 94689166170 126252221560 189378332340 378756664680