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17668392072 = 2334146738449
BaseRepresentation
bin10000011101000111…
…100100010010001000
31200121100012022110120
4100131013210102020
5242141102021242
612041114543240
71163560566102
oct203507442210
950540168416
1017668392072
11754738a521
123511137b20
131887616986
14bd878a572
156d62041ec
hex41d1e4488

17668392072 has 64 divisors (see below), whose sum is σ = 45346392000. Its totient is φ = 5733365760.

The previous prime is 17668392047. The next prime is 17668392083. The reversal of 17668392072 is 27029386671.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 440304 + ... + 478752.

It is an arithmetic number, because the mean of its divisors is an integer number (708537375).

Almost surely, 217668392072 is an apocalyptic number.

17668392072 is a gapful number since it is divisible by the number (12) 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 17668392072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22673196000).

17668392072 is an abundant number, since it is smaller than the sum of its proper divisors (27677999928).

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

17668392072 is a wasteful number, since it uses less digits than its factorization.

17668392072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38966 (or 38962 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 17668392072 in words is "seventeen billion, six hundred sixty-eight million, three hundred ninety-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 467 492 934 984 1401 1868 2802 3736 5604 11208 19147 38294 38449 57441 76588 76898 114882 115347 153176 153796 229764 230694 307592 459528 461388 922776 1576409 3152818 4729227 6305636 9458454 12611272 17955683 18916908 35911366 37833816 53867049 71822732 107734098 143645464 215468196 430936392 736183003 1472366006 2208549009 2944732012 4417098018 5889464024 8834196036 17668392072