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11307668862960 = 24355581670209
BaseRepresentation
bin1010010010001100010110…
…0101011111011111110000
31111001000001212220022100000
42210203011211133133300
52440231101212103320
640014401003030000
72244644401314021
oct244430545373760
944030055808300
1011307668862960
11366a612312488
12132760350b300
13640401cb55a2
142b1418dc4c48
15149212253c90
hexa48c595f7f0

11307668862960 has 120 divisors (see below), whose sum is σ = 39381399897840. Its totient is φ = 3015378358272.

The previous prime is 11307668862937. The next prime is 11307668862961. The reversal of 11307668862960 is 6926886670311.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×113076688629602 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11307668862961) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 290815665 + ... + 290854544.

It is an arithmetic number, because the mean of its divisors is an integer number (328178332482).

Almost surely, 211307668862960 is an apocalyptic number.

11307668862960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11307668862960 is an abundant number, since it is smaller than the sum of its proper divisors (28073731034880).

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

11307668862960 is an equidigital number, since it uses as much as digits as its factorization.

11307668862960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581670237 (or 581670219 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 11307668862960 in words is "eleven trillion, three hundred seven billion, six hundred sixty-eight million, eight hundred sixty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 19440 581670209 1163340418 1745010627 2326680836 2908351045 3490021254 4653361672 5235031881 5816702090 6980042508 8725053135 9306723344 10470063762 11633404180 13960085016 15705095643 17450106270 20940127524 23266808360 26175159405 27920170032 31410191286 34900212540 41880255048 46533616720 47115286929 52350318810 62820382572 69800425080 78525478215 83760510096 94230573858 104700637620 125640765144 139600850160 141345860787 157050956430 188461147716 209401275240 235576434645 251281530288 282691721574 314101912860 376922295432 418802550480 471152869290 565383443148 628203825720 706729303935 753844590864 942305738580 1130766886296 1256407651440 1413458607870 1884611477160 2261533772592 2826917215740 3769222954320 5653834431480 11307668862960