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120713770268 = 227213149317959
BaseRepresentation
bin111000001101100011…
…0011111010100011100
3102112120202020220020022
41300123012133110130
53434210211122033
6131242151011312
711502254055200
oct1603306372434
9375522226208
10120713770268
114721585a303
121b48a969b38
13b4ca038440
145bb2066b00
153217998098
hex1c1b19f51c

120713770268 has 72 divisors (see below), whose sum is σ = 266418684000. Its totient is φ = 47434246272.

The previous prime is 120713770217. The next prime is 120713770291. The reversal of 120713770268 is 862077317021.

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 23 ways as a sum of consecutive naturals, for example, 220673 + ... + 538631.

It is an arithmetic number, because the mean of its divisors is an integer number (3700259500).

Almost surely, 2120713770268 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 120713770268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133209342000).

120713770268 is an abundant number, since it is smaller than the sum of its proper divisors (145704913732).

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

120713770268 is a wasteful number, since it uses less digits than its factorization.

120713770268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318139 (or 318130 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 44.

The spelling of 120713770268 in words is "one hundred twenty billion, seven hundred thirteen million, seven hundred seventy thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 149 182 196 298 364 596 637 1043 1274 1937 2086 2548 3874 4172 7301 7748 13559 14602 27118 29204 54236 94913 189826 317959 379652 635918 1271836 2225713 4133467 4451426 8266934 8902852 15579991 16533868 28934269 31159982 47375891 57868538 62319964 94751782 115737076 189503564 202539883 331631237 405079766 615886583 663262474 810159532 1231773166 1326524948 2321418659 2463546332 4311206081 4642837318 8622412162 9285674636 17244824324 30178442567 60356885134 120713770268