Search a number
-
+
78722142760 = 235173137100931
BaseRepresentation
bin100100101010000110…
…1001001001000101000
321112012021121012102001
41021110031021020220
52242210332032020
6100055304420344
75454544113202
oct1112415111050
9245167535361
1078722142760
1130427663018
121330ba776b4
137567480681
143b4b17d772
1520ab20450a
hex1254349228

78722142760 has 128 divisors (see below), whose sum is σ = 198827965440. Its totient is φ = 27905126400.

The previous prime is 78722142727. The next prime is 78722142761. The reversal of 78722142760 is 6724122787.

It is a self number, because there is not a number n which added to its sum of digits gives 78722142760.

It is not an unprimeable number, because it can be changed into a prime (78722142761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 729495 + ... + 830425.

It is an arithmetic number, because the mean of its divisors is an integer number (1553343480).

Almost surely, 278722142760 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 78722142760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99413982720).

78722142760 is an abundant number, since it is smaller than the sum of its proper divisors (120105822680).

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

78722142760 is a wasteful number, since it uses less digits than its factorization.

78722142760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101027 (or 101023 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 46.

The spelling of 78722142760 in words is "seventy-eight billion, seven hundred twenty-two million, one hundred forty-two thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 31 34 37 40 62 68 74 85 124 136 148 155 170 185 248 296 310 340 370 527 620 629 680 740 1054 1147 1240 1258 1480 2108 2294 2516 2635 3145 4216 4588 5032 5270 5735 6290 9176 10540 11470 12580 19499 21080 22940 25160 38998 45880 77996 97495 100931 155992 194990 201862 389980 403724 504655 779960 807448 1009310 1715827 2018620 3128861 3431654 3734447 4037240 6257722 6863308 7468894 8579135 12515444 13726616 14937788 15644305 17158270 18672235 25030888 29875576 31288610 34316540 37344470 53190637 62577220 63485599 68633080 74688940 106381274 115767857 125154440 126971198 149377880 212762548 231535714 253942396 265953185 317427995 425525096 463071428 507884792 531906370 578839285 634855990 926142856 1063812740 1157678570 1269711980 1968053569 2127625480 2315357140 2539423960 3936107138 4630714280 7872214276 9840267845 15744428552 19680535690 39361071380 78722142760