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1983480153072 = 243113756591199
BaseRepresentation
bin11100110111010000101…
…000010100001111110000
321000121201010211200020120
4130313100220110033300
5224444131404344242
64115110451210240
7263205326060025
oct34672050241760
97017633750216
101983480153072
116a5209923330
122804b35a6980
1311506cb97512
146c00287b54c
15368dca4d1ec
hex1cdd0a143f0

1983480153072 has 40 divisors (see below), whose sum is σ = 5589807705600. Its totient is φ = 601054591680.

The previous prime is 1983480152957. The next prime is 1983480153079. The reversal of 1983480153072 is 2703510843891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1983480153079) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1878295072 + ... + 1878296127.

It is an arithmetic number, because the mean of its divisors is an integer number (139745192640).

Almost surely, 21983480153072 is an apocalyptic number.

1983480153072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1983480153072 is an abundant number, since it is smaller than the sum of its proper divisors (3606327552528).

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

1983480153072 is a wasteful number, since it uses less digits than its factorization.

1983480153072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3756591221 (or 3756591215 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 1983480153072 in words is "one trillion, nine hundred eighty-three billion, four hundred eighty million, one hundred fifty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 3756591199 7513182398 11269773597 15026364796 22539547194 30052729592 41322503189 45079094388 60105459184 82645006378 90158188776 123967509567 165290012756 180316377552 247935019134 330580025512 495870038268 661160051024 991740076536 1983480153072