Search a number
-
+
4063671084 = 2231131712197
BaseRepresentation
bin1111001000110110…
…1011001100101100
3101111012111212202110
43302031223030230
531310244433314
61511122324020
7202462430364
oct36215531454
911435455673
104063671084
1117a5922260
12954ab9610
134c9b85605
142a79a99a4
1518bb50a59
hexf236b32c

4063671084 has 144 divisors (see below), whose sum is σ = 10885045248. Its totient is φ = 1168944000.

The previous prime is 4063671047. The next prime is 4063671127. The reversal of 4063671084 is 4801763604.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 20627674 + ... + 20627870.

It is an arithmetic number, because the mean of its divisors is an integer number (75590592).

Almost surely, 24063671084 is an apocalyptic number.

4063671084 is a gapful number since it is divisible by the number (44) 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 4063671084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5442522624).

4063671084 is an abundant number, since it is smaller than the sum of its proper divisors (6821374164).

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

4063671084 is a wasteful number, since it uses less digits than its factorization.

4063671084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 4063671084 is about 63746.9299966673. The cubic root of 4063671084 is about 1595.7793820087.

The spelling of 4063671084 in words is "four billion, sixty-three million, six hundred seventy-one thousand, eighty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 71 93 124 132 142 186 197 213 284 341 372 394 426 591 682 781 788 852 1023 1182 1364 1562 2046 2167 2201 2343 2364 3124 4092 4334 4402 4686 5041 6107 6501 6603 8668 8804 9372 10082 12214 13002 13206 13987 15123 18321 20164 24211 24428 26004 26412 27974 30246 36642 41961 48422 55451 55948 60492 67177 72633 73284 83922 96844 110902 134354 145266 153857 156271 166353 167844 201531 221804 268708 290532 307714 312542 332706 403062 433597 461571 468813 615428 625084 665412 806124 867194 923142 937626 993077 1300791 1718981 1734388 1846284 1875252 1986154 2601582 2979231 3437962 3972308 4769567 5156943 5203164 5958462 6875924 9539134 10313886 10923847 11916924 14308701 19078268 20627772 21847694 28617402 30785387 32771541 43695388 57234804 61570774 65543082 92356161 123141548 131086164 184712322 338639257 369424644 677278514 1015917771 1354557028 2031835542 4063671084