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120252241664 = 28416123079
BaseRepresentation
bin110111111111110010…
…1111001011100000000
3102111101120210211000022
41233333211321130000
53432234033213124
6131124302513012
711454651121562
oct1577745713400
9374346724008
10120252241664
1146aa928a005
121b380295768
13b4555331a9
145b6aa47332
1531dc1cdc5e
hex1bff979700

120252241664 has 108 divisors (see below), whose sum is σ = 250067497680. Its totient is φ = 57679257600.

The previous prime is 120252241643. The next prime is 120252241717. The reversal of 120252241664 is 466142252021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39054077 + ... + 39057155.

Almost surely, 2120252241664 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 120252241664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125033748840).

120252241664 is an abundant number, since it is smaller than the sum of its proper divisors (129815256016).

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

120252241664 is an frugal number, since it uses more digits than its factorization.

120252241664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3258 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 120252241664 its reverse (466142252021), we get a palindrome (586394493685).

The spelling of 120252241664 in words is "one hundred twenty billion, two hundred fifty-two million, two hundred forty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 61 64 82 122 128 164 244 256 328 488 656 976 1312 1952 2501 2624 3079 3721 3904 5002 5248 6158 7442 7808 10004 10496 12316 14884 15616 20008 24632 29768 40016 49264 59536 80032 98528 119072 126239 152561 160064 187819 197056 238144 252478 305122 320128 375638 394112 476288 504956 610244 640256 751276 788224 952576 1009912 1220488 1502552 2019824 2440976 3005104 4039648 4881952 6010208 7700579 8079296 9763904 11456959 12020416 15401158 16158592 19527808 22913918 24040832 30802316 32317184 39055616 45827836 48081664 61604632 91655672 123209264 183311344 246418528 366622688 469735319 492837056 733245376 939470638 985674112 1466490752 1878941276 1971348224 2932981504 3757882552 7515765104 15031530208 30063060416 60126120832 120252241664