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4212551340 = 2233510971569
BaseRepresentation
bin1111101100010110…
…0110111010101100
3101212120122210002000
43323011212322230
532111403120330
61534001332300
7206251044534
oct37305467254
911776583060
104212551340
11187196a198
12996937090
1352198193a
142bd6824c4
15199c5d560
hexfb166eac

4212551340 has 96 divisors (see below), whose sum is σ = 13226136000. Its totient is φ = 1113025536.

The previous prime is 4212551327. The next prime is 4212551347. The reversal of 4212551340 is 431552124.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4212551347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23076 + ... + 94644.

It is an arithmetic number, because the mean of its divisors is an integer number (137772250).

Almost surely, 24212551340 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 4212551340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6613068000).

4212551340 is an abundant number, since it is smaller than the sum of its proper divisors (9013584660).

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

4212551340 is a wasteful number, since it uses less digits than its factorization.

4212551340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71696 (or 71688 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4212551340 is about 64904.1704361130. The cubic root of 4212551340 is about 1615.0342454246.

The spelling of 4212551340 in words is "four billion, two hundred twelve million, five hundred fifty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 109 135 180 218 270 327 436 540 545 654 981 1090 1308 1635 1962 2180 2943 3270 3924 4905 5886 6540 9810 11772 14715 19620 29430 58860 71569 143138 214707 286276 357845 429414 644121 715690 858828 1073535 1288242 1431380 1932363 2147070 2576484 3220605 3864726 4294140 6441210 7729452 7801021 9661815 12882420 15602042 19323630 23403063 31204084 38647260 39005105 46806126 70209189 78010210 93612252 117015315 140418378 156020420 210627567 234030630 280836756 351045945 421255134 468061260 702091890 842510268 1053137835 1404183780 2106275670 4212551340