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4212643652 = 227476197541
BaseRepresentation
bin1111101100010111…
…1101011101000100
3101212120211110200222
43323011331131010
532111414044102
61534003323512
7206251610630
oct37305753504
911776743628
104212643652
111871a22588
12996980598
135219b4969
142bd6a7dc0
15199c7aaa2
hexfb17d744

4212643652 has 96 divisors (see below), whose sum is σ = 8852100096. Its totient is φ = 1716940800.

The previous prime is 4212643619. The next prime is 4212643703. The reversal of 4212643652 is 2563462124.

It is an unprimeable number.

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, 7786502 + ... + 7787042.

It is an arithmetic number, because the mean of its divisors is an integer number (92209376).

Almost surely, 24212643652 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 4212643652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4426050048).

4212643652 is an abundant number, since it is smaller than the sum of its proper divisors (4639456444).

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

4212643652 is a wasteful number, since it uses less digits than its factorization.

4212643652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 755 counting only the distinct ones).

The product of its digits is 69120, while the sum is 35.

The square root of 4212643652 is about 64904.8815729603. The cubic root of 4212643652 is about 1615.0460423889.

The spelling of 4212643652 in words is "four billion, two hundred twelve million, six hundred forty-three thousand, six hundred fifty-two".

Divisors: 1 2 4 7 14 28 47 61 94 97 122 188 194 244 329 388 427 541 658 679 854 1082 1316 1358 1708 2164 2716 2867 3787 4559 5734 5917 7574 9118 11468 11834 15148 18236 20069 23668 25427 31913 33001 40138 41419 50854 52477 63826 66002 80276 82838 101708 104954 127652 132004 165676 177989 209908 231007 278099 355978 367339 462014 556198 711956 734678 924028 1112396 1469356 1551047 1946693 2466419 3102094 3201097 3893386 4932838 6204188 6402194 7786772 9865676 10857329 12804388 17264933 21714658 22407679 34529866 43429316 44815358 69059732 89630716 150451559 300903118 601806236 1053160913 2106321826 4212643652