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4789500768 = 2532137916193
BaseRepresentation
bin1000111010111100…
…11111101101100000
3110100210021211220100
410131132133231200
534302103011033
62111131342400
7226455041043
oct43536375540
913323254810
104789500768
1120386038a8
12b17bb1a00
135b4369730
14336148c5a
151d0726513
hex11d79fb60

4789500768 has 144 divisors (see below), whose sum is σ = 14854432320. Its totient is φ = 1454948352.

The previous prime is 4789500719. The next prime is 4789500769. The reversal of 4789500768 is 8670059874.

4789500768 is a `hidden beast` number, since 4 + 78 + 9 + 500 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4789500769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287680 + ... + 303872.

It is an arithmetic number, because the mean of its divisors is an integer number (103155780).

Almost surely, 24789500768 is an apocalyptic number.

4789500768 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 4789500768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7427216160).

4789500768 is an abundant number, since it is smaller than the sum of its proper divisors (10064931552).

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

4789500768 is a wasteful number, since it uses less digits than its factorization.

4789500768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16301 (or 16290 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 4789500768 is about 69206.2191425019. The cubic root of 4789500768 is about 1685.6345167600.

The spelling of 4789500768 in words is "four billion, seven hundred eighty-nine million, five hundred thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 79 96 104 117 144 156 158 208 234 237 288 312 316 416 468 474 624 632 711 936 948 1027 1248 1264 1422 1872 1896 2054 2528 2844 3081 3744 3792 4108 5688 6162 7584 8216 9243 11376 12324 16193 16432 18486 22752 24648 32386 32864 36972 48579 49296 64772 73944 97158 98592 129544 145737 147888 194316 210509 259088 291474 295776 388632 421018 518176 582948 631527 777264 842036 1165896 1263054 1279247 1554528 1684072 1894581 2331792 2526108 2558494 3368144 3789162 3837741 4663584 5052216 5116988 6736288 7578324 7675482 10104432 10233976 11513223 15156648 15350964 16630211 20208864 20467952 23026446 30313296 30701928 33260422 40935904 46052892 49890633 60626592 61403856 66520844 92105784 99781266 122807712 133041688 149671899 184211568 199562532 266083376 299343798 368423136 399125064 532166752 598687596 798250128 1197375192 1596500256 2394750384 4789500768