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6845314374 = 23111392
BaseRepresentation
bin1100110000000001…
…10011010101000110
3122200001200000000000
412120000303111012
5103004400024444
63051130502130
7331430132523
oct63000632506
918601600000
106845314374
1129a3002008
1213b0594946
138512563a2
1448d1b214a
152a0e61469
hex198033546

6845314374 has 72 divisors (see below), whose sum is σ = 15513530760. Its totient is φ = 2265355836.

The previous prime is 6845314337. The next prime is 6845314379. The reversal of 6845314374 is 4734135486.

6845314374 is a `hidden beast` number, since 6 + 8 + 4 + 531 + 43 + 74 = 666.

Its product of digits (967680) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6845314379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49246797 + ... + 49246935.

It is an arithmetic number, because the mean of its divisors is an integer number (215465705).

Almost surely, 26845314374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6845314374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7756765380).

6845314374 is an abundant number, since it is smaller than the sum of its proper divisors (8668216386).

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

6845314374 is an frugal number, since it uses more digits than its factorization.

6845314374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 144 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 6845314374 is about 82736.4150419874. The cubic root of 6845314374 is about 1898.7354812260.

The spelling of 6845314374 in words is "six billion, eight hundred forty-five million, three hundred fourteen thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 81 139 162 243 278 417 486 729 834 1251 1458 2187 2502 3753 4374 6561 7506 11259 13122 19321 19683 22518 33777 38642 39366 57963 59049 67554 101331 115926 118098 173889 177147 202662 303993 347778 354294 521667 607986 911979 1043334 1565001 1823958 2735937 3130002 4695003 5471874 8207811 9390006 14085009 16415622 24623433 28170018 42255027 49246866 84510054 126765081 253530162 380295243 760590486 1140885729 2281771458 3422657187 6845314374