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6845174016 = 28312770181
BaseRepresentation
bin1100110000000000…
…10001000100000000
3122200001101212110120
412120000101010000
5103004331032031
63051123500240
7331426006362
oct63000210400
918601355416
106845174016
1129a2a1660a
1213b0527680
13851207535
1448d176d32
152a0e34a96
hex198011100

6845174016 has 72 divisors (see below), whose sum is σ = 18361857024. Its totient is φ = 2263726080.

The previous prime is 6845173969. The next prime is 6845174069. The reversal of 6845174016 is 6104715486.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62446 + ... + 132626.

It is an arithmetic number, because the mean of its divisors is an integer number (255025792).

Almost surely, 26845174016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6845174016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9180928512).

6845174016 is an abundant number, since it is smaller than the sum of its proper divisors (11516683008).

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

6845174016 is a wasteful number, since it uses less digits than its factorization.

6845174016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70327 (or 70313 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 6845174016 is about 82735.5668137954. The cubic root of 6845174016 is about 1898.7225037584.

The spelling of 6845174016 in words is "six billion, eight hundred forty-five million, one hundred seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 256 381 384 508 762 768 1016 1524 2032 3048 4064 6096 8128 12192 16256 24384 32512 48768 70181 97536 140362 210543 280724 421086 561448 842172 1122896 1684344 2245792 3368688 4491584 6737376 8912987 8983168 13474752 17825974 17966336 26738961 26949504 35651948 53477922 53899008 71303896 106955844 142607792 213911688 285215584 427823376 570431168 855646752 1140862336 1711293504 2281724672 3422587008 6845174016