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120546505056 = 2536730416163
BaseRepresentation
bin111000001000100100…
…0011011000101100000
3102112011002111221111110
41300101020123011200
53433334401130211
6131213413543320
711465153246415
oct1602110330540
9375132457443
10120546505056
114713a3a549a
121b442944b40
13b4a14a2b43
145b97b6610c
153207e57ea6
hex1c1121b160

120546505056 has 96 divisors (see below), whose sum is σ = 321315216768. Its totient is φ = 39562997760.

The previous prime is 120546505007. The next prime is 120546505091. The reversal of 120546505056 is 650505645021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 19556631 + ... + 19562793.

It is an arithmetic number, because the mean of its divisors is an integer number (3347033508).

Almost surely, 2120546505056 is an apocalyptic number.

120546505056 is a gapful number since it is divisible by the number (16) 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 120546505056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160657608384).

120546505056 is an abundant number, since it is smaller than the sum of its proper divisors (200768711712).

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

120546505056 is a wasteful number, since it uses less digits than its factorization.

120546505056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9284 (or 9276 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

The spelling of 120546505056 in words is "one hundred twenty billion, five hundred forty-six million, five hundred five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 2144 3041 3216 6082 6163 6432 9123 12164 12326 18246 18489 24328 24652 36492 36978 48656 49304 72984 73956 97312 98608 145968 147912 197216 203747 291936 295824 407494 412921 591648 611241 814988 825842 1222482 1238763 1629976 1651684 2444964 2477526 3259952 3303368 4889928 4955052 6519904 6606736 9779856 9910104 13213472 18741683 19559712 19820208 37483366 39640416 56225049 74966732 112450098 149933464 224900196 299866928 449800392 599733856 899600784 1255692761 1799201568 2511385522 3767078283 5022771044 7534156566 10045542088 15068313132 20091084176 30136626264 40182168352 60273252528 120546505056