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6667066656 = 253246349999
BaseRepresentation
bin1100011010110001…
…10101110100100000
3122012122021002002200
412031120311310200
5102123232113111
63021322213200
7324134063055
oct61530656440
918178232080
106667066656
112911426948
121360954200
13823346c73
1447365302c
152904a2256
hex18d635d20

6667066656 has 72 divisors (see below), whose sum is σ = 19000800000. Its totient is φ = 2217511296.

The previous prime is 6667066639. The next prime is 6667066669. The reversal of 6667066656 is 6566607666.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108345 + ... + 158343.

It is an arithmetic number, because the mean of its divisors is an integer number (263900000).

Almost surely, 26667066656 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 6667066656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9500400000).

6667066656 is an abundant number, since it is smaller than the sum of its proper divisors (12333733344).

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

6667066656 is a wasteful number, since it uses less digits than its factorization.

6667066656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50478 (or 50467 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The square root of 6667066656 is about 81652.1074804564. The cubic root of 6667066656 is about 1882.1096974467.

The spelling of 6667066656 in words is "six billion, six hundred sixty-seven million, sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 463 926 1389 1852 2778 3704 4167 5556 7408 8334 11112 14816 16668 22224 33336 44448 49999 66672 99998 133344 149997 199996 299994 399992 449991 599988 799984 899982 1199976 1599968 1799964 2399952 3599928 4799904 7199856 14399712 23149537 46299074 69448611 92598148 138897222 185196296 208345833 277794444 370392592 416691666 555588888 740785184 833383332 1111177776 1666766664 2222355552 3333533328 6667066656