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11780966910930 = 2357596471469621
BaseRepresentation
bin1010101101101111100001…
…0110010000101111010010
31112201020201211200022111020
42223123320112100233102
53021004410012122210
641020033530500310
72324101225326630
oct253337026205722
945636654608436
1011780966910930
113832309768128
1213a3291b94696
13675c2c118c39
142ca2b7bcc350
151566b3a77770
hexab6f8590bd2

11780966910930 has 128 divisors (see below), whose sum is σ = 32912008335360. Its totient is φ = 2643058663680.

The previous prime is 11780966910929. The next prime is 11780966910949. The reversal of 11780966910930 is 3901966908711.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7281520 + ... + 8751140.

It is an arithmetic number, because the mean of its divisors is an integer number (257125065120).

Almost surely, 211780966910930 is an apocalyptic number.

11780966910930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11780966910930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16456004167680).

11780966910930 is an abundant number, since it is smaller than the sum of its proper divisors (21131041424430).

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

11780966910930 is a wasteful number, since it uses less digits than its factorization.

11780966910930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470344.

The product of its (nonzero) digits is 4408992, while the sum is 60.

The spelling of 11780966910930 in words is "eleven trillion, seven hundred eighty billion, nine hundred sixty-six million, nine hundred ten thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 59 70 105 118 177 210 295 354 413 590 647 826 885 1239 1294 1770 1941 2065 2478 3235 3882 4130 4529 6195 6470 9058 9705 12390 13587 19410 22645 27174 38173 45290 67935 76346 114519 135870 190865 229038 267211 381730 534422 572595 801633 1145190 1336055 1469621 1603266 2672110 2939242 4008165 4408863 7348105 8016330 8817726 10287347 14696210 20574694 22044315 30862041 44088630 51436735 61724082 86707639 102873470 154310205 173415278 260122917 308620410 433538195 520245834 606953473 867076390 950844787 1213906946 1300614585 1820860419 1901689574 2601229170 2852534361 3034767365 3641720838 4754223935 5705068722 6069534730 6655913509 9104302095 9508447870 13311827018 14262671805 18208604190 19967740527 28525343610 33279567545 39935481054 56099842433 66559135090 99838702635 112199684866 168299527299 199677405270 280499212165 336599054598 392698897031 560998424330 785397794062 841497636495 1178096691093 1682995272990 1963494485155 2356193382186 3926988970310 5890483455465 11780966910930