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6770629152 = 2532731131827
BaseRepresentation
bin1100100111000111…
…11001101000100000
3122110212010121010200
412103203321220200
5102331240113102
63035502025200
7326532253410
oct62343715040
918425117120
106770629152
112964930991
12138b578200
1383b937151
144832d0640
1529960c51c
hex1938f9a20

6770629152 has 288 divisors, whose sum is σ = 22915436544. Its totient is φ = 1855526400.

The previous prime is 6770629147. The next prime is 6770629153. The reversal of 6770629152 is 2519260776.

6770629152 is a `hidden beast` number, since 6 + 7 + 7 + 0 + 629 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×67706291522 = 91682838227824478208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6770629098 and 6770629107.

It is not an unprimeable number, because it can be changed into a prime (6770629153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8186563 + ... + 8187389.

It is an arithmetic number, because the mean of its divisors is an integer number (79567488).

Almost surely, 26770629152 is an apocalyptic number.

6770629152 is a gapful number since it is divisible by the number (62) 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 6770629152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11457718272).

6770629152 is an abundant number, since it is smaller than the sum of its proper divisors (16144807392).

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

6770629152 is a wasteful number, since it uses less digits than its factorization.

6770629152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 6770629152 is about 82283.8328713484. The cubic root of 6770629152 is about 1891.8048837284.

The spelling of 6770629152 in words is "six billion, seven hundred seventy million, six hundred twenty-nine thousand, one hundred fifty-two".