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4809746688 = 28367211443
BaseRepresentation
bin1000111101010111…
…01110100100000000
3110102012101110002020
410132223232210000
534322243343223
62113133321440
7230122113045
oct43653564400
913365343066
104809746688
112048a8196a
12b22936280
135b8607a76
14338ad91cc
151d23c51e3
hex11eaee900

4809746688 has 144 divisors (see below), whose sum is σ = 13083038976. Its totient is φ = 1568286720.

The previous prime is 4809746663. The next prime is 4809746699. The reversal of 4809746688 is 8866479084.

It is a super-3 number, since 3×48097466883 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10856995 + ... + 10857437.

Almost surely, 24809746688 is an apocalyptic number.

4809746688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4809746688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6541519488).

4809746688 is an abundant number, since it is smaller than the sum of its proper divisors (8273292288).

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

4809746688 is a wasteful number, since it uses less digits than its factorization.

4809746688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 60.

The square root of 4809746688 is about 69352.3372929853. The cubic root of 4809746688 is about 1688.0063190917.

The spelling of 4809746688 in words is "four billion, eight hundred nine million, seven hundred forty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 211 256 268 384 402 422 443 536 633 768 804 844 886 1072 1266 1329 1608 1688 1772 2144 2532 2658 3216 3376 3544 4288 5064 5316 6432 6752 7088 8576 10128 10632 12864 13504 14137 14176 17152 20256 21264 25728 27008 28274 28352 29681 40512 42411 42528 51456 54016 56548 56704 59362 81024 84822 85056 89043 93473 113096 113408 118724 162048 169644 170112 178086 186946 226192 237448 280419 339288 340224 356172 373892 452384 474896 560838 678576 712344 747784 904768 949792 1121676 1357152 1424688 1495568 1809536 1899584 2243352 2714304 2849376 2991136 3619072 3799168 4486704 5428608 5698752 5982272 6262691 7598336 8973408 10857216 11397504 11964544 12525382 17946816 18788073 22795008 23929088 25050764 35893632 37576146 50101528 71787264 75152292 100203056 150304584 200406112 300609168 400812224 601218336 801624448 1202436672 1603248896 2404873344 4809746688