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128005746320672 = 251110911871178151
BaseRepresentation
bin11101000110101110101001…
…000010011110010100100000
3121210020020012112212202212022
4131012232221002132110200
5113234221232024230142
61132125010020321012
735651052503134043
oct3506565102362440
9553206175782768
10128005746320672
1137871a287711a0
1212434455543168
135656b7568957c
142387722964c5a
15ebeacace46d2
hex746ba909e520

128005746320672 has 96 divisors (see below), whose sum is σ = 275322041100288. Its totient is φ = 58099703200000.

The previous prime is 128005746320663. The next prime is 128005746320677. The reversal of 128005746320672 is 276023647500821.

It is a super-2 number, since 2×1280057463206722 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (128005746320677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718434797 + ... + 718612947.

It is an arithmetic number, because the mean of its divisors is an integer number (2867937928128).

Almost surely, 2128005746320672 is an apocalyptic number.

It is an amenable number.

128005746320672 is an abundant number, since it is smaller than the sum of its proper divisors (147316294779616).

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

128005746320672 is a wasteful number, since it uses less digits than its factorization.

128005746320672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181134 (or 181126 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 53.

The spelling of 128005746320672 in words is "one hundred twenty-eight trillion, five billion, seven hundred forty-six million, three hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 1091 1871 2182 3742 4364 7484 8728 12001 14968 17456 20581 24002 29936 34912 41162 48004 59872 82324 96008 164648 178151 192016 329296 356302 384032 658592 712604 1425208 1959661 2041261 2850416 3919322 4082522 5700832 7838644 8165044 15677288 16330088 22453871 31354576 32660176 44907742 62709152 65320352 89815484 179630968 194362741 333320521 359261936 388725482 666641042 718523872 777450964 1333282084 1554901928 2137990151 2666564168 3109803856 3666525731 4275980302 5333128336 6219607712 7333051462 8551960604 10666256672 14666102924 17103921208 29332205848 34207842416 58664411696 68415684832 117328823392 363652688411 727305376822 1454610753644 2909221507288 4000179572521 5818443014576 8000359145042 11636886029152 16000718290084 32001436580168 64002873160336 128005746320672