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6640181780064 = 25379881222887
BaseRepresentation
bin110000010100000100110…
…1011010001111001100000
3212111210110200111112020220
41200220021223101321200
51332243043013430224
622042242444203040
71253510615601060
oct140501153217140
925453420445226
106640181780064
1121300a3562048
128b2ab3539480
13392221917a11
1418d55a83d3a0
15b7ad6748279
hex60a09ad1e60

6640181780064 has 48 divisors (see below), whose sum is σ = 19920545342208. Its totient is φ = 1897194794112.

The previous prime is 6640181780027. The next prime is 6640181780117. The reversal of 6640181780064 is 4600871810466.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 6640181779989 and 6640181780016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4940610772 + ... + 4940612115.

It is an arithmetic number, because the mean of its divisors is an integer number (415011361296).

Almost surely, 26640181780064 is an apocalyptic number.

It is an amenable number.

6640181780064 is an abundant number, since it is smaller than the sum of its proper divisors (13280363562144).

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

6640181780064 is a wasteful number, since it uses less digits than its factorization.

6640181780064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9881222907 (or 9881222899 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 6640181780064 in words is "six trillion, six hundred forty billion, one hundred eighty-one million, seven 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 9881222887 19762445774 29643668661 39524891548 59287337322 69168560209 79049783096 118574674644 138337120418 158099566192 207505680627 237149349288 276674240836 316199132384 415011361254 474298698576 553348481672 830022722508 948597397152 1106696963344 1660045445016 2213393926688 3320090890032 6640181780064