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6853324303648 = 251729434414573
BaseRepresentation
bin110001110111010100111…
…1101011110110100100000
3220021011121221202120211001
41203232221331132310200
51344241102010204043
622324212420201344
71305064523263264
oct143565175366440
926234557676731
106853324303648
1122025299a3789
12928278539254
133a935b9ba764
141999ba18a0a4
15bd40d8c374d
hex63ba9f5ed20

6853324303648 has 48 divisors (see below), whose sum is σ = 14778783807480. Its totient is φ = 3113883652096.

The previous prime is 6853324303577. The next prime is 6853324303711. The reversal of 6853324303648 is 8463034233586.

It can be written as a sum of positive squares in 4 ways, for example, as 6792340988944 + 60983314704 = 2606212^2 + 246948^2 .

It is a super-2 number, since 2×68533243036482 (a number of 26 digits) contains 22 as substring.

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, 217191511 + ... + 217223062.

Almost surely, 26853324303648 is an apocalyptic number.

6853324303648 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

6853324303648 is an abundant number, since it is smaller than the sum of its proper divisors (7925459503832).

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

6853324303648 is a wasteful number, since it uses less digits than its factorization.

6853324303648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434414629 (or 434414621 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 55.

The spelling of 6853324303648 in words is "six trillion, eight hundred fifty-three billion, three hundred twenty-four million, three hundred three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 116 136 232 272 464 493 544 928 986 1972 3944 7888 15776 434414573 868829146 1737658292 3475316584 6950633168 7385047741 12598022617 13901266336 14770095482 25196045234 29540190964 50392090468 59080381928 100784180936 118160763856 201568361872 214166384489 236321527712 403136723744 428332768978 856665537956 1713331075912 3426662151824 6853324303648