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488009306112 = 212359966301
BaseRepresentation
bin1110001100111111001…
…11110001000000000000
31201122122012121100110220
413012133213301000000
530443420340243422
61012104405023040
750154216442206
oct7063747610000
91648565540426
10488009306112
11178a66592729
127a6b53b4a80
1337032bc4033
1419896949076
15ca630eee5c
hex719f9f1000

488009306112 has 104 divisors (see below), whose sum is σ = 1303391236800. Its totient is φ = 162395750400.

The previous prime is 488009306077. The next prime is 488009306117. The reversal of 488009306112 is 211603900884.

It is not an unprimeable number, because it can be changed into a prime (488009306117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7327362 + ... + 7393662.

Almost surely, 2488009306112 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 488009306112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651695618400).

488009306112 is an abundant number, since it is smaller than the sum of its proper divisors (815381930688).

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

488009306112 is an equidigital number, since it uses as much as digits as its factorization.

488009306112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66927 (or 66905 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 488009306112 in words is "four hundred eighty-eight billion, nine million, three hundred six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 599 768 1024 1198 1536 1797 2048 2396 3072 3594 4096 4792 6144 7188 9584 12288 14376 19168 28752 38336 57504 66301 76672 115008 132602 153344 198903 230016 265204 306688 397806 460032 530408 613376 795612 920064 1060816 1226752 1591224 1840128 2121632 2453504 3182448 3680256 4243264 6364896 7360512 8486528 12729792 16973056 25459584 33946112 39714299 50919168 67892224 79428598 101838336 119142897 135784448 158857196 203676672 238285794 271568896 317714392 407353344 476571588 635428784 814706688 953143176 1270857568 1906286352 2541715136 3812572704 5083430272 7625145408 10166860544 15250290816 20333721088 30500581632 40667442176 61001163264 81334884352 122002326528 162669768704 244004653056 488009306112