Search a number
-
+
463021461160980 = 223519419906321377
BaseRepresentation
bin110100101000111011001010…
…1101101110100010000010100
32020201102102022201212211212020
41221101312111231310100110
5441142120423024122410
64320433042304053140
7166346124306115461
oct15121662555642024
92221372281784766
10463021461160980
11124595331976357
1243b207b26041b0
1316b48975c47a57
14824a503232668
15387e3b65b7a70
hex1a51d95b74414

463021461160980 has 96 divisors (see below), whose sum is σ = 1397980072863360. Its totient is φ = 114120822251520.

The previous prime is 463021461160969. The next prime is 463021461160981. The reversal of 463021461160980 is 89061164120364.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463021461160981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4953113949 + ... + 4953207428.

It is an arithmetic number, because the mean of its divisors is an integer number (14562292425660).

Almost surely, 2463021461160980 is an apocalyptic number.

It is an amenable number.

463021461160980 is an abundant number, since it is smaller than the sum of its proper divisors (934958611702380).

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

463021461160980 is a wasteful number, since it uses less digits than its factorization.

463021461160980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9906321449 (or 9906321447 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 463021461160980 in words is "four hundred sixty-three trillion, twenty-one billion, four hundred sixty-one million, one hundred sixty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 41 57 60 76 82 95 114 123 164 190 205 228 246 285 380 410 492 570 615 779 820 1140 1230 1558 2337 2460 3116 3895 4674 7790 9348 11685 15580 23370 46740 9906321377 19812642754 29718964131 39625285508 49531606885 59437928262 99063213770 118875856524 148594820655 188220106163 198126427540 297189641310 376440212326 406159176457 564660318489 594379282620 752880424652 812318352914 941100530815 1129320636978 1218477529371 1624636705828 1882201061630 2030795882285 2258641273956 2436955058742 2823301592445 3764402123260 4061591764570 4873910117484 5646603184890 6092387646855 7717024352683 8123183529140 11293206369780 12184775293710 15434048705366 23151073058049 24369550587420 30868097410732 38585121763415 46302146116098 77170243526830 92604292232196 115755365290245 154340487053660 231510730580490 463021461160980