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6480520740 = 22325477110789
BaseRepresentation
bin1100000100100010…
…01110011000100100
3121201122020120012200
412002101032120210
5101233003130430
62551020014500
7316410342321
oct60221163044
917648216180
106480520740
1128260a3171
12130a391430
137c37c0775
14456973b48
1527de04460
hex18244e624

6480520740 has 144 divisors (see below), whose sum is σ = 20360471040. Its totient is φ = 1667393280.

The previous prime is 6480520723. The next prime is 6480520763. The reversal of 6480520740 is 470250846.

6480520740 is a `hidden beast` number, since 64 + 8 + 0 + 520 + 74 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6480520695 and 6480520704.

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, 595266 + ... + 606054.

It is an arithmetic number, because the mean of its divisors is an integer number (141392160).

Almost surely, 26480520740 is an apocalyptic number.

6480520740 is a gapful number since it is divisible by the number (60) 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 6480520740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10180235520).

6480520740 is an abundant number, since it is smaller than the sum of its proper divisors (13879950300).

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

6480520740 is a wasteful number, since it uses less digits than its factorization.

6480520740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10922 (or 10917 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 6480520740 is about 80501.6815973430. The cubic root of 6480520740 is about 1864.3894423660.

The spelling of 6480520740 in words is "six billion, four hundred eighty million, five hundred twenty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 71 90 94 141 142 180 188 213 235 282 284 355 423 426 470 564 639 705 710 846 852 940 1065 1278 1410 1420 1692 2115 2130 2556 2820 3195 3337 4230 4260 6390 6674 8460 10011 10789 12780 13348 16685 20022 21578 30033 32367 33370 40044 43156 50055 53945 60066 64734 66740 97101 100110 107890 120132 129468 150165 161835 194202 200220 215780 300330 323670 388404 485505 507083 600660 647340 766019 971010 1014166 1521249 1532038 1942020 2028332 2298057 2535415 3042498 3064076 3830095 4563747 4596114 5070830 6084996 6894171 7606245 7660190 9127494 9192228 10141660 11490285 13788342 15212490 15320380 18254988 22818735 22980570 27576684 30424980 34470855 36002893 45637470 45961140 68941710 72005786 91274940 108008679 137883420 144011572 180014465 216017358 324026037 360028930 432034716 540043395 648052074 720057860 1080086790 1296104148 1620130185 2160173580 3240260370 6480520740