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4228464689460 = 223251110612012807
BaseRepresentation
bin111101100010000100001…
…000101100000100110100
3112222020101222022102200100
4331202010020230010310
51023234343430030320
612554310241114100
7614332203554004
oct75420410540464
915866358272610
104228464689460
111390311099310
12583608328930
132489863a650b
141089319b4004
1574ed3386790
hex3d88422c134

4228464689460 has 144 divisors (see below), whose sum is σ = 14005568932992. Its totient is φ = 1024115692800.

The previous prime is 4228464689453. The next prime is 4228464689479. The reversal of 4228464689460 is 649864648224.

4228464689460 is a `hidden beast` number, since 4 + 2 + 2 + 84 + 6 + 468 + 94 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1094377 + ... + 3107183.

It is an arithmetic number, because the mean of its divisors is an integer number (97260895368).

Almost surely, 24228464689460 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 4228464689460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7002784466496).

4228464689460 is an abundant number, since it is smaller than the sum of its proper divisors (9777104243532).

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

4228464689460 is a wasteful number, since it uses less digits than its factorization.

4228464689460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013894 (or 2013889 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 63.

The spelling of 4228464689460 in words is "four trillion, two hundred twenty-eight billion, four hundred sixty-four million, six hundred eighty-nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1061 1980 2122 3183 4244 5305 6366 9549 10610 11671 12732 15915 19098 21220 23342 31830 35013 38196 46684 47745 58355 63660 70026 95490 105039 116710 140052 175065 190980 210078 233420 350130 420156 525195 700260 1050390 2012807 2100780 4025614 6038421 8051228 10064035 12076842 18115263 20128070 22140877 24153684 30192105 36230526 40256140 44281754 60384210 66422631 72461052 88563508 90576315 110704385 120768420 132845262 181152630 199267893 221408770 265690524 332113155 362305260 398535786 442817540 664226310 797071572 996339465 1328452620 1992678930 2135588227 3985357860 4271176454 6406764681 8542352908 10677941135 12813529362 19220294043 21355882270 23491470497 25627058724 32033823405 38440588086 42711764540 46982940994 64067646810 70474411491 76881176172 93965881988 96101470215 117457352485 128135293620 140948822982 192202940430 211423234473 234914704970 281897645964 352372057455 384405880860 422846468946 469829409940 704744114910 845692937892 1057116172365 1409488229820 2114232344730 4228464689460