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486070730820 = 22345967310283
BaseRepresentation
bin1110001001011000001…
…00101100000001000100
31201110122002211112010000
413010230010230001010
530430433101341240
61011144154401300
750055200020203
oct7045404540104
91643562745100
10486070730820
1117816128a394
127a254130230
1336ab43a526c
14197512bd23a
15c99cd22430
hex712c12c044

486070730820 has 120 divisors (see below), whose sum is σ = 1526403662784. Its totient is φ = 129484401984.

The previous prime is 486070730813. The next prime is 486070730833. The reversal of 486070730820 is 28037070684.

It is a happy number.

486070730820 is a `hidden beast` number, since 4 + 8 + 607 + 0 + 7 + 30 + 8 + 2 + 0 = 666.

It is a super-3 number, since 3×4860707308203 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1411399 + ... + 1721681.

Almost surely, 2486070730820 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 486070730820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763201831392).

486070730820 is an abundant number, since it is smaller than the sum of its proper divisors (1040332931964).

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

486070730820 is a wasteful number, since it uses less digits than its factorization.

486070730820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311271 (or 311260 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 486070730820 in words is "four hundred eighty-six billion, seventy million, seven hundred thirty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 967 1620 1934 2901 3868 4835 5802 8703 9670 11604 14505 17406 19340 26109 29010 34812 43515 52218 58020 78327 87030 104436 130545 156654 174060 261090 310283 313308 391635 522180 620566 783270 930849 1241132 1551415 1566540 1861698 2792547 3102830 3723396 4654245 5585094 6205660 8377641 9308490 11170188 13962735 16755282 18616980 25132923 27925470 33510564 41888205 50265846 55850940 83776410 100531692 125664615 167552820 251329230 300043661 502658460 600087322 900130983 1200174644 1500218305 1800261966 2700392949 3000436610 3600523932 4500654915 5400785898 6000873220 8101178847 9001309830 10801571796 13501964745 16202357694 18002619660 24303536541 27003929490 32404715388 40505894235 48607073082 54007858980 81011788470 97214146164 121517682705 162023576940 243035365410 486070730820