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4111327136 = 25731271269
BaseRepresentation
bin1111010100001101…
…1101111110100000
3101121112012001120102
43311003131332200
531404444432021
61515544001532
7203611463330
oct36503357640
911545161512
104111327136
11181a811a24
12968a602a8
135069ccb67
142b00530c0
15190e1600b
hexf50ddfa0

4111327136 has 144 divisors (see below), whose sum is σ = 9729175680. Its totient is φ = 1674892800.

The previous prime is 4111327123. The next prime is 4111327147. The reversal of 4111327136 is 6317231114.

It is a junction number, because it is equal to n+sod(n) for n = 4111327099 and 4111327108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15283610 + ... + 15283878.

It is an arithmetic number, because the mean of its divisors is an integer number (67563720).

Almost surely, 24111327136 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 4111327136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4864587840).

4111327136 is an abundant number, since it is smaller than the sum of its proper divisors (5617848544).

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

4111327136 is a wasteful number, since it uses less digits than its factorization.

4111327136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 380 counting only the distinct ones).

The product of its digits is 3024, while the sum is 29.

The square root of 4111327136 is about 64119.6314399888. The cubic root of 4111327136 is about 1601.9932366819.

The spelling of 4111327136 in words is "four billion, one hundred eleven million, three hundred twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 71 112 124 142 217 224 248 269 284 434 496 497 538 568 868 961 992 994 1076 1136 1736 1883 1922 1988 2152 2201 2272 3472 3766 3844 3976 4304 4402 6727 6944 7532 7688 7952 8339 8608 8804 13454 15064 15376 15407 15904 16678 17608 19099 26908 30128 30752 30814 33356 35216 38198 53816 58373 60256 61628 66712 68231 70432 76396 107632 116746 123256 133424 133693 136462 152792 215264 233492 246512 258509 266848 267386 272924 305584 466984 477617 493024 517018 534772 545848 592069 611168 933968 955234 1034036 1069544 1091696 1184138 1809563 1867936 1910468 2068072 2139088 2183392 2368276 3619126 3820936 4136144 4144483 4278176 4736552 7238252 7641872 8272288 8288966 9473104 14476504 15283744 16577932 18354139 18946208 28953008 33155864 36708278 57906016 66311728 73416556 128478973 132623456 146833112 256957946 293666224 513915892 587332448 1027831784 2055663568 4111327136