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4742576676 = 2233371378663
BaseRepresentation
bin1000110101010110…
…11111101000100100
3110020111222212011000
410122223133220210
534203044423201
62102333513300
7225345144105
oct43253375044
913214885130
104742576676
112014074062
12b04342830
135a771a3b6
1432dc123ac
151cb557d86
hex11aadfa24

4742576676 has 96 divisors (see below), whose sum is σ = 12721524480. Its totient is φ = 1526729472.

The previous prime is 4742576669. The next prime is 4742576677. The reversal of 4742576676 is 6766752474.

4742576676 is a `hidden beast` number, since 4 + 7 + 4 + 2 + 576 + 67 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4742576677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 543121 + ... + 551783.

It is an arithmetic number, because the mean of its divisors is an integer number (132515880).

Almost surely, 24742576676 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 4742576676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6360762240).

4742576676 is an abundant number, since it is smaller than the sum of its proper divisors (7978947804).

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

4742576676 is a wasteful number, since it uses less digits than its factorization.

4742576676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8850 (or 8842 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 54.

The square root of 4742576676 is about 68866.3682504022. The cubic root of 4742576676 is about 1680.1115614691. Note that the first 3 decimals are identical.

The spelling of 4742576676 in words is "four billion, seven hundred forty-two million, five hundred seventy-six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 137 148 222 274 333 411 444 548 666 822 999 1233 1332 1644 1998 2466 3699 3996 4932 5069 7398 8663 10138 14796 15207 17326 20276 25989 30414 34652 45621 51978 60828 77967 91242 103956 136863 155934 182484 233901 273726 311868 320531 467802 547452 641062 935604 961593 1186831 1282124 1923186 2373662 2884779 3560493 3846372 4747324 5769558 7120986 8654337 10681479 11539116 14241972 17308674 21362958 32044437 34617348 42725916 43912747 64088874 87825494 128177748 131738241 175650988 263476482 395214723 526952964 790429446 1185644169 1580858892 2371288338 4742576676