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2830294077720 = 2335263394722721
BaseRepresentation
bin101001001011111010101…
…011000101000100011000
3101000120111001122012010020
4221023322223011010120
5332332420240441340
610004115200350440
7411324216501264
oct51137253050430
911016431565106
102830294077720
119a135924854a
12398643915420
13176b847ac105
149adb63310a4
154d950b379d0
hex292faac5118

2830294077720 has 128 divisors (see below), whose sum is σ = 8525701578240. Its totient is φ = 751651758080.

The previous prime is 2830294077713. The next prime is 2830294077763. The reversal of 2830294077720 is 277704920382.

It is a happy number.

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, 124555960 + ... + 124578680.

It is an arithmetic number, because the mean of its divisors is an integer number (66607043580).

Almost surely, 22830294077720 is an apocalyptic number.

2830294077720 is a gapful number since it is divisible by the number (20) 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 2830294077720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4262850789120).

2830294077720 is an abundant number, since it is smaller than the sum of its proper divisors (5695407500520).

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

2830294077720 is a wasteful number, since it uses less digits than its factorization.

2830294077720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26945 (or 26941 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 51.

The spelling of 2830294077720 in words is "two trillion, eight hundred thirty billion, two hundred ninety-four million, seventy-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 263 526 789 1052 1315 1578 2104 2630 3156 3945 3947 5260 6312 7890 7894 10520 11841 15780 15788 19735 22721 23682 31560 31576 39470 45442 47364 59205 68163 78940 90884 94728 113605 118410 136326 157880 181768 227210 236820 272652 340815 454420 473640 545304 681630 908840 1038061 1363260 2076122 2726520 3114183 4152244 5190305 5975623 6228366 8304488 10380610 11951246 12456732 15570915 17926869 20761220 23902492 24913464 29878115 31141830 35853738 41522440 47804984 59756230 62283660 71707476 89634345 89679787 119512460 124567320 143414952 179268690 179359574 239024920 269039361 358537380 358719148 448398935 538078722 717074760 717438296 896797870 1076157444 1345196805 1793595740 2152314888 2690393610 3587191480 5380787220 10761574440 23585783981 47171567962 70757351943 94343135924 117928919905 141514703886 188686271848 235857839810 283029407772 353786759715 471715679620 566058815544 707573519430 943431359240 1415147038860 2830294077720