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945814993240 = 2351315733593449
BaseRepresentation
bin11011100001101101111…
…01110111100101011000
310100102022110202212211211
431300312331313211120
5110444012114240430
62002300145432504
7125222114536255
oct15606675674530
93312273685754
10945814993240
113351329a7377
1213337b63b734
136b26149c670
1433ac5da442c
15199097a472a
hexdc36f77958

945814993240 has 128 divisors (see below), whose sum is σ = 2307735360000. Its totient is φ = 346795757568.

The previous prime is 945814993237. The next prime is 945814993259. The reversal of 945814993240 is 42399418549.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274227036 + ... + 274230484.

It is an arithmetic number, because the mean of its divisors is an integer number (18029182500).

Almost surely, 2945814993240 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 945814993240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153867680000).

945814993240 is an abundant number, since it is smaller than the sum of its proper divisors (1361920366760).

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

945814993240 is a wasteful number, since it uses less digits than its factorization.

945814993240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6989 (or 6985 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 58.

The spelling of 945814993240 in words is "nine hundred forty-five billion, eight hundred fourteen million, nine hundred ninety-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 157 260 314 520 628 785 1256 1570 2041 3140 3359 3449 4082 6280 6718 6898 8164 10205 13436 13796 16328 16795 17245 20410 26872 27592 33590 34490 40820 43667 44837 67180 68980 81640 87334 89674 134360 137960 174668 179348 218335 224185 349336 358696 436670 448370 527363 541493 873340 896740 1054726 1082986 1746680 1793480 2109452 2165972 2636815 2707465 4218904 4331944 5273630 5414930 6855719 7039409 10547260 10829860 11585191 13711438 14078818 21094520 21659720 23170382 27422876 28157636 34278595 35197045 46340764 54845752 56315272 57925955 68557190 70394090 92681528 115851910 137114380 140788180 150607483 231703820 274228760 281576360 301214966 463407640 602429932 753037415 1204859864 1506074830 1818874987 3012149660 3637749974 6024299320 7275499948 9094374935 14550999896 18188749870 23645374831 36377499740 47290749662 72754999480 94581499324 118226874155 189162998648 236453748310 472907496620 945814993240