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481229968208 = 241123277467919
BaseRepresentation
bin1110000000010111000…
…10101001001101010000
31201000010202002022011212
413000023202221031100
530341024332440313
61005023552155252
746524220144523
oct7001342511520
91630122068155
10481229968208
111760a7853830
1279322b38b28
13364c252aca2
141941242cbba
15c7b7d723a8
hex700b8a9350

481229968208 has 160 divisors (see below), whose sum is σ = 1068643031040. Its totient is φ = 207802298880.

The previous prime is 481229968199. The next prime is 481229968237. The reversal of 481229968208 is 802869922184.

It is a super-3 number, since 3×4812299682083 (a number of 36 digits) contains 333 as substring.

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, 523644773 + ... + 523645691.

It is an arithmetic number, because the mean of its divisors is an integer number (6679018944).

Almost surely, 2481229968208 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 481229968208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534321515520).

481229968208 is an abundant number, since it is smaller than the sum of its proper divisors (587413062832).

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

481229968208 is a wasteful number, since it uses less digits than its factorization.

481229968208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 59.

The spelling of 481229968208 in words is "four hundred eighty-one billion, two hundred twenty-nine million, nine hundred sixty-eight thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 277 368 467 506 554 919 934 1012 1108 1838 1868 2024 2216 3047 3676 3736 4048 4432 5137 6094 6371 7352 7472 10109 10274 10741 12188 12742 14704 20218 20548 21137 21482 24376 25484 40436 41096 42274 42964 48752 50968 70081 80872 82192 84548 85928 101936 118151 129359 140162 161744 169096 171856 232507 236302 254563 258718 280324 338192 429173 465014 472604 509126 517436 560648 858346 930028 945208 1018252 1034872 1121296 1422949 1716692 1860056 1890416 2036504 2069744 2800193 2845898 2975257 3433384 3720112 4073008 4720903 5600386 5691796 5854949 5950514 6866768 9441806 9870979 11200772 11383592 11709898 11901028 18883612 19741958 22401544 22767184 23419796 23802056 32727827 37767224 39483916 44803088 46839592 47604112 64404439 65455654 75534448 78967832 93679184 108580769 118880921 128808878 130911308 157935664 217161538 237761842 257617756 261822616 434323076 475523684 515235512 523645232 868646152 951047368 1030471024 1307690131 1737292304 1902094736 2615380262 2734261183 5230760524 5468522366 10461521048 10937044732 20923042096 21874089464 30076873013 43748178928 60153746026 120307492052 240614984104 481229968208