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4196730564 = 22321319895303
BaseRepresentation
bin1111101000100101…
…0000011011000100
3101211110220000001100
43322021100123010
532043330334224
61532234300100
7205666423035
oct37211203304
911743800040
104196730564
111863a43874
12991587630
1351b602830
142bb524a8c
15198685ac9
hexfa2506c4

4196730564 has 144 divisors (see below), whose sum is σ = 12163132800. Its totient is φ = 1209364992.

The previous prime is 4196730553. The next prime is 4196730569. The reversal of 4196730564 is 4650376914.

4196730564 is a `hidden beast` number, since 4 + 19 + 6 + 73 + 0 + 564 = 666.

It is a super-2 number, since 2×41967305642 = 35225094853623516192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4196730569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 788737 + ... + 794039.

It is an arithmetic number, because the mean of its divisors is an integer number (84466200).

Almost surely, 24196730564 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 4196730564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6081566400).

4196730564 is an abundant number, since it is smaller than the sum of its proper divisors (7966402236).

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

4196730564 is a wasteful number, since it uses less digits than its factorization.

4196730564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5434 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 4196730564 is about 64782.1778269301. The cubic root of 4196730564 is about 1613.0098864179.

The spelling of 4196730564 in words is "four billion, one hundred ninety-six million, seven hundred thirty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 89 114 117 156 171 178 228 234 247 267 342 356 468 494 534 684 741 801 988 1068 1157 1482 1602 1691 2223 2314 2964 3204 3382 3471 4446 4628 5073 5303 6764 6942 8892 10146 10413 10606 13884 15219 15909 20292 20826 21212 21983 30438 31818 41652 43966 47727 60876 63636 65949 68939 87932 95454 100757 131898 137878 190908 197847 201514 206817 263796 275756 302271 395694 403028 413634 471967 604542 620451 791388 827268 906813 943934 1209084 1240902 1309841 1415901 1813626 1887868 2481804 2619682 2831802 3627252 3929523 4247703 5239364 5663604 6135571 7859046 8495406 8967373 11788569 12271142 15718092 16990812 17934746 18406713 23577138 24542284 26902119 35869492 36813426 47154276 53804238 55220139 73626852 80706357 107608476 110440278 116575849 161412714 220880556 233151698 322825428 349727547 466303396 699455094 1049182641 1398910188 2098365282 4196730564