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4787420506960 = 2457131409466723
BaseRepresentation
bin100010110101010100001…
…1111111010101101010000
3121221200011120021222120011
41011222220133322231100
51111414114122210320
614103151032124304
71002610512612250
oct105525037725520
917850146258504
104787420506960
111586374083023
12653a01536694
132895b4844ab0
141279d8b1b960
15847e9c1005a
hex45aa87fab50

4787420506960 has 160 divisors (see below), whose sum is σ = 13709140058880. Its totient is φ = 1514061103104.

The previous prime is 4787420506951. The next prime is 4787420506997. The reversal of 4787420506960 is 696050247874.

It is a happy number.

It is a super-2 number, since 2×47874205069602 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4787420506895 and 4787420506904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10024159 + ... + 10490881.

It is an arithmetic number, because the mean of its divisors is an integer number (85682125368).

Almost surely, 24787420506960 is an apocalyptic number.

4787420506960 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 4787420506960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6854570029440).

4787420506960 is an abundant number, since it is smaller than the sum of its proper divisors (8921719551920).

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

4787420506960 is a wasteful number, since it uses less digits than its factorization.

4787420506960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468165 (or 468159 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 58.

The spelling of 4787420506960 in words is "four trillion, seven hundred eighty-seven billion, four hundred twenty million, five hundred six thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1409 1456 1820 2818 3640 5636 7045 7280 9863 11272 14090 18317 19726 22544 28180 36634 39452 49315 56360 73268 78904 91585 98630 112720 128219 146536 157808 183170 197260 256438 293072 366340 394520 466723 512876 641095 732680 789040 933446 1025752 1282190 1465360 1866892 2051504 2333615 2564380 3267061 3733784 4667230 5128760 6067399 6534122 7467568 9334460 10257520 12134798 13068244 16335305 18668920 24269596 26136488 30336995 32670610 37337840 42471793 48539192 52272976 60673990 65341220 84943586 97078384 121347980 130682440 169887172 212358965 242695960 261364880 339774344 424717930 485391920 657612707 679548688 849435860 1315225414 1698871720 2630450828 3288063535 3397743440 4603288949 5260901656 6576127070 8548965191 9206577898 10521803312 13152254140 17097930382 18413155796 23016444745 26304508280 34195860764 36826311592 42744825955 46032889490 52609016560 59842756337 68391721528 73652623184 85489651910 92065778980 119685512674 136783443056 170979303820 184131557960 239371025348 299213781685 341958607640 368263115920 478742050696 598427563370 683917215280 957484101392 1196855126740 2393710253480 4787420506960