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11332206697080 = 23356112791210411
BaseRepresentation
bin1010010011100111110000…
…1001111001101001111000
31111010100101222011102202010
42210321330021321221320
52441131324403301310
640033535514005520
72246503434416013
oct244717411715170
944110358142663
1011332206697080
113679a64283435
1213303111168a0
13642812852769
142b26a5c2437a
15149b9b583320
hexa4e7c279a78

11332206697080 has 128 divisors (see below), whose sum is σ = 34580986675200. Its totient is φ = 2970055641600.

The previous prime is 11332206697079. The next prime is 11332206697129. The reversal of 11332206697080 is 8079660223311.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 8757075 + ... + 9967485.

It is an arithmetic number, because the mean of its divisors is an integer number (270163958400).

Almost surely, 211332206697080 is an apocalyptic number.

11332206697080 is a gapful number since it is divisible by the number (10) 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 11332206697080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17290493337600).

11332206697080 is an abundant number, since it is smaller than the sum of its proper divisors (23248779978120).

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

11332206697080 is a wasteful number, since it uses less digits than its factorization.

11332206697080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211765 (or 1211761 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 11332206697080 in words is "eleven trillion, three hundred thirty-two billion, two hundred six million, six hundred ninety-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 488 610 732 915 1220 1279 1464 1830 2440 2558 3660 3837 5116 6395 7320 7674 10232 12790 15348 19185 25580 30696 38370 51160 76740 78019 153480 156038 234057 312076 390095 468114 624152 780190 936228 1170285 1210411 1560380 1872456 2340570 2420822 3120760 3631233 4681140 4841644 6052055 7262466 9362280 9683288 12104110 14524932 18156165 24208220 29049864 36312330 48416440 72624660 73835071 145249320 147670142 221505213 295340284 369175355 443010426 590680568 738350710 886020852 1107526065 1476701420 1548115669 1772041704 2215052130 2953402840 3096231338 4430104260 4644347007 6192462676 7740578345 8860208520 9288694014 12384925352 15481156690 18577388028 23221735035 30962313380 37154776056 46443470070 61924626760 92886940140 94435055809 185773880280 188870111618 283305167427 377740223236 472175279045 566610334854 755480446472 944350558090 1133220669708 1416525837135 1888701116180 2266441339416 2833051674270 3777402232360 5666103348540 11332206697080