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6634943136 = 253273315589
BaseRepresentation
bin1100010110111100…
…10011001010100000
3122010101211000220200
412023132103022200
5102042021140021
63014213505200
7323264041353
oct61336231240
918111730820
106634943136
1128a5285a88
121352042200
138197aa573
1446d29029a
1528c759126
hex18b7932a0

6634943136 has 72 divisors (see below), whose sum is σ = 19126647540. Its totient is φ = 2181344256.

The previous prime is 6634943131. The next prime is 6634943149. The reversal of 6634943136 is 6313494366.

6634943136 is a `hidden beast` number, since 6 + 634 + 9 + 4 + 3 + 1 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6014933136 + 620010000 = 77556^2 + 24900^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 6634943091 and 6634943100.

It is not an unprimeable number, because it can be changed into a prime (6634943131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136771 + ... + 178818.

Almost surely, 26634943136 is an apocalyptic number.

It is an amenable number.

6634943136 is an abundant number, since it is smaller than the sum of its proper divisors (12491704404).

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

6634943136 is a wasteful number, since it uses less digits than its factorization.

6634943136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315678 (or 315667 counting only the distinct ones).

The product of its digits is 839808, while the sum is 45.

The square root of 6634943136 is about 81455.1602785238. The cubic root of 6634943136 is about 1879.0820114615.

The spelling of 6634943136 in words is "six billion, six hundred thirty-four million, nine hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 288 292 438 584 657 876 1168 1314 1752 2336 2628 3504 5256 7008 10512 21024 315589 631178 946767 1262356 1893534 2524712 2840301 3787068 5049424 5680602 7574136 10098848 11361204 15148272 22722408 23037997 30296544 45444816 46075994 69113991 90889632 92151988 138227982 184303976 207341973 276455964 368607952 414683946 552911928 737215904 829367892 1105823856 1658735784 2211647712 3317471568 6634943136