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6738004992 = 210314812
BaseRepresentation
bin1100100011001110…
…11100110000000000
3122101120202010012110
412101213130300000
5102244412124432
63032334455320
7325655045265
oct62147346000
918346663173
106738004992
112948478974
121380664540
13834c53904
1447cc3b26c
15296815dcc
hex1919dcc00

6738004992 has 66 divisors (see below), whose sum is σ = 17971374484. Its totient is φ = 2244485120.

The previous prime is 6738004981. The next prime is 6738005041. The reversal of 6738004992 is 2994008376.

It is a super-2 number, since 2×67380049922 = 90801422544433840128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 4548892 + ... + 4550372.

Almost surely, 26738004992 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 6738004992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8985687242).

6738004992 is an abundant number, since it is smaller than the sum of its proper divisors (11233369492).

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

6738004992 is an frugal number, since it uses more digits than its factorization.

6738004992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 6738004992 is about 82085.3518723042. The cubic root of 6738004992 is about 1888.7614471455.

Multiplying 6738004992 by its sum of digits (48), we get a square (323424239616 = 5687042).

6738004992 divided by its sum of digits (48) gives a square (140375104 = 118482).

The spelling of 6738004992 in words is "six billion, seven hundred thirty-eight million, four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1481 1536 2962 3072 4443 5924 8886 11848 17772 23696 35544 47392 71088 94784 142176 189568 284352 379136 568704 758272 1137408 1516544 2193361 2274816 4386722 4549632 6580083 8773444 13160166 17546888 26320332 35093776 52640664 70187552 105281328 140375104 210562656 280750208 421125312 561500416 842250624 1123000832 1684501248 2246001664 3369002496 6738004992