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119247248848 = 247131919721881
BaseRepresentation
bin110111100001110110…
…0001001110111010000
3102101210112201220001011
41233003230021313100
53423204243430343
6130440442220304
711421025614430
oct1570354116720
9371715656034
10119247248848
1146632a66032
121b13b7b4694
13b3252685a0
145ab339a2c0
15317dd6329d
hex1bc3b09dd0

119247248848 has 160 divisors (see below), whose sum is σ = 300858243840. Its totient is φ = 44462960640.

The previous prime is 119247248821. The next prime is 119247248851. The reversal of 119247248848 is 848842742911.

It is a junction number, because it is equal to n+sod(n) for n = 119247248792 and 119247248801.

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, 5438868 + ... + 5460748.

It is an arithmetic number, because the mean of its divisors is an integer number (1880364024).

Almost surely, 2119247248848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119247248848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150429121920).

119247248848 is an abundant number, since it is smaller than the sum of its proper divisors (181610994992).

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

119247248848 is a wasteful number, since it uses less digits than its factorization.

119247248848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22125 (or 22119 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 58.

The spelling of 119247248848 in words is "one hundred nineteen billion, two hundred forty-seven million, two hundred forty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 52 56 76 91 104 112 133 152 182 197 208 247 266 304 364 394 494 532 728 788 988 1064 1379 1456 1576 1729 1976 2128 2561 2758 3152 3458 3743 3952 5122 5516 6916 7486 10244 11032 13832 14972 17927 20488 21881 22064 26201 27664 29944 35854 40976 43762 48659 52402 59888 71708 87524 97318 104804 143416 153167 175048 194636 209608 284453 286832 306334 340613 350096 389272 415739 419216 568906 612668 681226 778544 831478 1137812 1225336 1362452 1662956 1991171 2275624 2450672 2724904 2910173 3325912 3982342 4310557 4551248 5404607 5449808 5820346 6651824 7964684 8621114 10809214 11640692 15929368 17242228 21618428 23281384 30173899 31858736 34484456 37832249 43236856 46562768 56037241 60347798 68968912 75664498 81900583 86473712 112074482 120695596 151328996 163801166 224148964 241391192 302657992 327602332 392260687 448297928 482782384 573304081 605315984 655204664 784521374 896595856 1064707579 1146608162 1310409328 1569042748 2129415158 2293216324 3138085496 4258830316 4586432648 6276170992 7452953053 8517660632 9172865296 14905906106 17035321264 29811812212 59623624424 119247248848