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4210745742 = 233717655267
BaseRepresentation
bin1111101011111010…
…1110000110001110
3101212110021001021000
43322332232012032
532110422330432
61533454521130
7206226514440
oct37276560616
911773231230
104210745742
111870946665
129962061a6
1352149bb38
142bd332490
15199a0357c
hexfafae18e

4210745742 has 64 divisors (see below), whose sum is σ = 11323031040. Its totient is φ = 1132299648.

The previous prime is 4210745729. The next prime is 4210745753. The reversal of 4210745742 is 2475470124.

4210745742 is a `hidden beast` number, since 4 + 2 + 10 + 74 + 574 + 2 = 666.

It is a super-2 number, since 2×42107457422 = 35460759407542261128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4210745697 and 4210745706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321208 + ... + 334059.

It is an arithmetic number, because the mean of its divisors is an integer number (176922360).

Almost surely, 24210745742 is an apocalyptic number.

4210745742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4210745742 is an abundant number, since it is smaller than the sum of its proper divisors (7112285298).

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

4210745742 is a wasteful number, since it uses less digits than its factorization.

4210745742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655302 (or 655296 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The square root of 4210745742 is about 64890.2592227832. The cubic root of 4210745742 is about 1614.8034653024.

The spelling of 4210745742 in words is "four billion, two hundred ten million, seven hundred forty-five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 714 918 1071 2142 3213 6426 655267 1310534 1965801 3931602 4586869 5897403 9173738 11139539 11794806 13760607 17692209 22279078 27521214 33418617 35384418 41281821 66837234 77976773 82563642 100255851 123845463 155953546 200511702 233930319 247690926 300767553 467860638 601535106 701790957 1403581914 2105372871 4210745742