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10669978368 = 28357107229
BaseRepresentation
bin10011110111111101…
…01111001100000000
31000112121110001200000
421323332233030000
5133323003301433
64522434400000
7525261214440
oct117376571400
930477401600
1010669978368
114585a19745
122099430000
131010747a8a
14733124120
15426b00113
hex27bfaf300

10669978368 has 432 divisors, whose sum is σ = 36962714880. Its totient is φ = 3006885888.

The previous prime is 10669978327. The next prime is 10669978463. The reversal of 10669978368 is 86387996601.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×106699783682 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 46593678 + ... + 46593906.

It is an arithmetic number, because the mean of its divisors is an integer number (85561840).

Almost surely, 210669978368 is an apocalyptic number.

10669978368 is a gapful number since it is divisible by the number (18) 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 10669978368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18481357440).

10669978368 is an abundant number, since it is smaller than the sum of its proper divisors (26292736512).

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

10669978368 is an equidigital number, since it uses as much as digits as its factorization.

10669978368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 10669978368 in words is "ten billion, six hundred sixty-nine million, nine hundred seventy-eight thousand, three hundred sixty-eight".