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78644056120 = 23578927711393
BaseRepresentation
bin100100100111110001…
…1010001000000111000
321111222211122222200021
41021033203101000320
52242030334243440
6100043435020224
75452605306310
oct1111743210070
9244884588607
1078644056120
1130397579403
12132a989a674
137554240166
143b40a54440
1520a442c84a
hex124f8d1038

78644056120 has 128 divisors (see below), whose sum is σ = 205256073600. Its totient is φ = 26562134016.

The previous prime is 78644056103. The next prime is 78644056123. The reversal of 78644056120 is 2165044687.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78644056123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6897144 + ... + 6908536.

It is an arithmetic number, because the mean of its divisors is an integer number (1603563075).

Almost surely, 278644056120 is an apocalyptic number.

78644056120 is a gapful number since it is divisible by the number (70) 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 78644056120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102628036800).

78644056120 is an abundant number, since it is smaller than the sum of its proper divisors (126612017480).

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

78644056120 is a wasteful number, since it uses less digits than its factorization.

78644056120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11777 (or 11773 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 78644056120 in words is "seventy-eight billion, six hundred forty-four million, fifty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 89 140 178 277 280 356 445 554 623 712 890 1108 1246 1385 1780 1939 2216 2492 2770 3115 3560 3878 4984 5540 6230 7756 9695 11080 11393 12460 15512 19390 22786 24653 24920 38780 45572 49306 56965 77560 79751 91144 98612 113930 123265 159502 172571 197224 227860 246530 319004 345142 398755 455720 493060 638008 690284 797510 862855 986120 1013977 1380568 1595020 1725710 2027954 3155861 3190040 3451420 4055908 5069885 6311722 6902840 7097839 8111816 10139770 12623444 14195678 15779305 20279540 22091027 25246888 28391356 31558610 35489195 40559080 44182054 56782712 63117220 70978390 88364108 110455135 126234440 141956780 176728216 220910270 280871629 283913560 441820540 561743258 883641080 1123486516 1404358145 1966101403 2246973032 2808716290 3932202806 5617432580 7864405612 9830507015 11234865160 15728811224 19661014030 39322028060 78644056120