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11968264089048 = 233101113251174079
BaseRepresentation
bin1010111000101001010000…
…1000010010110111011000
31120101011011220100210021010
42232022110020102313120
53032042001101322143
641242051123213520
72343451512143541
oct256122410226730
946334156323233
1011968264089048
1138a4792080223
1214136435172a0
1368a7aa7b6957
142d53a4bc14c8
1515b4c6beca33
hexae294212dd8

11968264089048 has 128 divisors (see below), whose sum is σ = 30605937868800. Its totient is φ = 3899347200000.

The previous prime is 11968264089013. The next prime is 11968264089059. The reversal of 11968264089048 is 84098046286911.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11968264089048.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68664873 + ... + 68838951.

It is an arithmetic number, because the mean of its divisors is an integer number (239108889600).

Almost surely, 211968264089048 is an apocalyptic number.

It is an amenable number.

11968264089048 is an abundant number, since it is smaller than the sum of its proper divisors (18637673779752).

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

11968264089048 is a wasteful number, since it uses less digits than its factorization.

11968264089048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174553 (or 174549 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 66.

The spelling of 11968264089048 in words is "eleven trillion, nine hundred sixty-eight billion, two hundred sixty-four million, eighty-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 24 101 113 202 226 251 303 339 404 452 502 606 678 753 808 904 1004 1212 1356 1506 2008 2424 2712 3012 6024 11413 22826 25351 28363 34239 45652 50702 56726 68478 76053 85089 91304 101404 113452 136956 152106 170178 174079 202808 226904 273912 304212 340356 348158 522237 608424 680712 696316 1044474 1392632 2088948 2864663 4177896 5729326 8593989 11458652 17187978 17581979 19670927 22917304 34375956 35163958 39341854 43693829 52745937 59012781 68751912 70327916 78683708 87387658 105491874 118025562 131081487 140655832 157367416 174775316 210983748 236051124 262162974 349550632 421967496 472102248 524325948 1048651896 1986763627 3973527254 4413076729 4937402677 5960290881 7947054508 8826153458 9874805354 11920581762 13239230187 14812208031 15894109016 17652306916 19749610708 23841163524 26478460374 29624416062 35304613832 39499221416 47682327048 52956920748 59248832124 105913841496 118497664248 498677670377 997355340754 1496033011131 1994710681508 2992066022262 3989421363016 5984132044524 11968264089048