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4099127948480 = 265174153181439
BaseRepresentation
bin111011101001100111000…
…100001011010011000000
3112111212120021102020101102
4323221213010023103000
51014130003223322410
612415040253553532
7602103132445265
oct73514704132300
915455507366342
104099127948480
111340480954534
125625317a58a8
13239713a48a56
1410258263b26c
15719638892a5
hex3ba6710b4c0

4099127948480 has 112 divisors (see below), whose sum is σ = 10337773340160. Its totient is φ = 1542821019648.

The previous prime is 4099127948477. The next prime is 4099127948527. The reversal of 4099127948480 is 848497219904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22501601 + ... + 22683039.

It is an arithmetic number, because the mean of its divisors is an integer number (92301547680).

Almost surely, 24099127948480 is an apocalyptic number.

4099127948480 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 4099127948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5168886670080).

4099127948480 is an abundant number, since it is smaller than the sum of its proper divisors (6238645391680).

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

4099127948480 is a wasteful number, since it uses less digits than its factorization.

4099127948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185626 (or 185616 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 65.

The spelling of 4099127948480 in words is "four trillion, ninety-nine billion, one hundred twenty-seven million, nine hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 4153 5440 8306 16612 20765 33224 41530 66448 70601 83060 132896 141202 166120 181439 265792 282404 332240 353005 362878 564808 664480 706010 725756 907195 1129616 1328960 1412020 1451512 1814390 2259232 2824040 2903024 3084463 3628780 4518464 5648080 5806048 6168926 7257560 11296160 11612096 12337852 14515120 15422315 22592320 24675704 29030240 30844630 49351408 58060480 61689260 98702816 123378520 197405632 246757040 493514080 753516167 987028160 1507032334 3014064668 3767580835 6028129336 7535161670 12056258672 12809774839 15070323340 24112517344 25619549678 30140646680 48225034688 51239099356 60281293360 64048874195 102478198712 120562586720 128097748390 204956397424 241125173440 256195496780 409912794848 512390993560 819825589696 1024781987120 2049563974240 4099127948480