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1089913375080 = 233451931742969
BaseRepresentation
bin11111101110000111110…
…01100100100101101000
310212012020221022010120000
433313003321210211220
5120324120311000310
62152411014103000
7141513032554545
oct17670371444550
93765227263500
101089913375080
11390258760442
1215729594aa60
137ba1717b16a
143aa75a35bcc
151d5401d14c0
hexfdc3e64968

1089913375080 has 160 divisors (see below), whose sum is σ = 3682303000200. Its totient is φ = 289137475584.

The previous prime is 1089913375073. The next prime is 1089913375087. The reversal of 1089913375080 is 805733199801.

1089913375080 is a `hidden beast` number, since 1 + 0 + 8 + 99 + 13 + 37 + 508 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1089913375073) and next prime (1089913375087).

It can be written as a sum of positive squares in 4 ways, for example, as 480174158916 + 609739216164 = 692946^2 + 780858^2 .

It is a super-2 number, since 2×10899133750802 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1089913375087) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 246165 + ... + 1496804.

Almost surely, 21089913375080 is an apocalyptic number.

1089913375080 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 1089913375080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841151500100).

1089913375080 is an abundant number, since it is smaller than the sum of its proper divisors (2592389625120).

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

1089913375080 is a wasteful number, since it uses less digits than its factorization.

1089913375080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743185 (or 1743172 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 1089913375080 in words is "one trillion, eighty-nine billion, nine hundred thirteen million, three hundred seventy-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 193 216 270 324 360 386 405 540 579 648 772 810 965 1080 1158 1544 1620 1737 1930 2316 2895 3240 3474 3860 4632 5211 5790 6948 7720 8685 10422 11580 13896 15633 17370 20844 23160 26055 31266 34740 41688 52110 62532 69480 78165 104220 125064 156330 208440 312660 625320 1742969 3485938 5228907 6971876 8714845 10457814 13943752 15686721 17429690 20915628 26144535 31373442 34859380 41831256 47060163 52289070 62746884 69718760 78433605 94120326 104578140 125493768 141180489 156867210 188240652 209156280 235300815 282360978 313734420 336393017 376481304 470601630 564721956 627468840 672786034 705902445 941203260 1009179051 1129443912 1345572068 1411804890 1681965085 1882406520 2018358102 2691144136 2823609780 3027537153 3363930170 4036716204 5045895255 5647219560 6055074306 6727860340 8073432408 9082611459 10091790510 12110148612 13455720680 15137685765 18165222918 20183581020 24220297224 27247834377 30275371530 36330445836 40367162040 45413057295 54495668754 60550743060 72660891672 90826114590 108991337508 121101486120 136239171885 181652229180 217982675016 272478343770 363304458360 544956687540 1089913375080