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6634580064 = 25379872887
BaseRepresentation
bin1100010110111001…
…11010100001100000
3122010101010120212120
412023130322201200
5102041423030224
63014202024240
7323261000010
oct61334724140
918111116776
106634580064
1128a5058222
121351aa8080
138196b1228
1446d1d7c40
1528c6d6779
hex18b73a860

6634580064 has 48 divisors (see below), whose sum is σ = 19903742208. Its totient is φ = 1895594112.

The previous prime is 6634580059. The next prime is 6634580081. The reversal of 6634580064 is 4600854366.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6634579998 and 6634580025.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4935772 + ... + 4937115.

It is an arithmetic number, because the mean of its divisors is an integer number (414661296).

Almost surely, 26634580064 is an apocalyptic number.

It is an amenable number.

6634580064 is an abundant number, since it is smaller than the sum of its proper divisors (13269162144).

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

6634580064 is a wasteful number, since it uses less digits than its factorization.

6634580064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9872907 (or 9872899 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 6634580064 is about 81452.9315862848. The cubic root of 6634580064 is about 1879.0477356335.

The spelling of 6634580064 in words is "six billion, six hundred thirty-four million, five hundred eighty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 9872887 19745774 29618661 39491548 59237322 69110209 78983096 118474644 138220418 157966192 207330627 236949288 276440836 315932384 414661254 473898576 552881672 829322508 947797152 1105763344 1658645016 2211526688 3317290032 6634580064