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4213650663640 = 23511191725729207
BaseRepresentation
bin111101010100010001001…
…001101010100011011000
3112220211011120002221121101
4331110101021222203120
51023014024032214030
612543420245121144
7613266122454235
oct75242111524330
915824146087541
104213650663640
111384aa9a4a470
125807730b91b4
13247465243672
14107d2836078c
1574917a5a7ca
hex3d51126a8d8

4213650663640 has 128 divisors (see below), whose sum is σ = 10887947942400. Its totient is φ = 1451458759680.

The previous prime is 4213650663623. The next prime is 4213650663661. The reversal of 4213650663640 is 463660563124.

It is a congruent number.

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, 144253917 + ... + 144283123.

It is an arithmetic number, because the mean of its divisors is an integer number (85062093300).

Almost surely, 24213650663640 is an apocalyptic number.

4213650663640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4213650663640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443973971200).

4213650663640 is an abundant number, since it is smaller than the sum of its proper divisors (6674297278760).

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

4213650663640 is a wasteful number, since it uses less digits than its factorization.

4213650663640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46505 (or 46501 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 46.

The spelling of 4213650663640 in words is "four trillion, two hundred thirteen billion, six hundred fifty million, six hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 17257 29207 34514 58414 69028 86285 116828 138056 146035 172570 189827 233656 292070 321277 327883 345140 379654 554933 584140 642554 655766 690280 759308 949135 1109866 1168280 1285108 1311532 1518616 1606385 1639415 1898270 2219732 2570216 2623064 2774665 3212770 3278830 3606713 3796540 4439464 5549330 6104263 6425540 6557660 7213426 7593080 11098660 12208526 12851080 13115320 14426852 18033565 22197320 24417052 28853704 30521315 36067130 48834104 61042630 72134260 122085260 144268520 244170520 504025199 1008050398 2016100796 2520125995 4032201592 5040251990 5544277189 9576478781 10080503980 11088554378 19152957562 20161007960 22177108756 27721385945 38305915124 44354217512 47882393905 55442771890 76611830248 95764787810 105341266591 110885543780 191529575620 210682533182 221771087560 383059151240 421365066364 526706332955 842730132728 1053412665910 2106825331820 4213650663640