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4106013576 = 233789311883
BaseRepresentation
bin1111010010111100…
…1100101110001000
3101121011012002201220
43310233030232020
531402114413301
61515234042040
7203515353030
oct36457145610
911534162656
104106013576
111817812855
12967119320
1350588c442
142ad46c8c0
15190716936
hexf4bccb88

4106013576 has 128 divisors (see below), whose sum is σ = 11914905600. Its totient is φ = 1154926080.

The previous prime is 4106013557. The next prime is 4106013599. The reversal of 4106013576 is 6753106014.

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 31 ways as a sum of consecutive naturals, for example, 4649631 + ... + 4650513.

It is an arithmetic number, because the mean of its divisors is an integer number (93085200).

Almost surely, 24106013576 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 4106013576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5957452800).

4106013576 is an abundant number, since it is smaller than the sum of its proper divisors (7808892024).

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

4106013576 is a wasteful number, since it uses less digits than its factorization.

4106013576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 4106013576 is about 64078.1833075814. The cubic root of 4106013576 is about 1601.3027899652.

The spelling of 4106013576 in words is "four billion, one hundred six million, thirteen thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 89 168 178 267 311 356 534 622 623 712 883 933 1068 1244 1246 1766 1866 1869 2136 2177 2488 2492 2649 3532 3732 3738 4354 4984 5298 6181 6531 7064 7464 7476 8708 10596 12362 13062 14952 17416 18543 21192 24724 26124 27679 37086 49448 52248 55358 74172 78587 83037 110716 148344 157174 166074 193753 221432 235761 274613 314348 332148 387506 471522 549226 550109 581259 628696 664296 775012 823839 943044 1098452 1100218 1162518 1550024 1647678 1650327 1886088 1922291 2196904 2200436 2325036 3295356 3300654 3844582 4400872 4650072 5766873 6590712 6601308 7689164 11533746 13202616 15378328 23067492 24440557 46134984 48881114 73321671 97762228 146643342 171083899 195524456 293286684 342167798 513251697 586573368 684335596 1026503394 1368671192 2053006788 4106013576