Search a number
-
+
120972045816 = 233212791313657
BaseRepresentation
bin111000010101001111…
…1101110110111111000
3102120020202020122200100
41300222133232313320
53440222320431231
6131323534435400
711511541265136
oct1605237566770
9376222218610
10120972045816
1147338625576
121b541362b60
13b53b6b77cb
145bd8498756
1532304b41e6
hex1c2a7eedf8

120972045816 has 48 divisors (see below), whose sum is σ = 327889036800. Its totient is φ = 40292456832.

The previous prime is 120972045797. The next prime is 120972045871. The reversal of 120972045816 is 618540279021.

120972045816 is a `hidden beast` number, since 120 + 9 + 72 + 0 + 458 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 564741 + ... + 748916.

It is an arithmetic number, because the mean of its divisors is an integer number (6831021600).

Almost surely, 2120972045816 is an apocalyptic number.

It is an amenable number.

120972045816 is an abundant number, since it is smaller than the sum of its proper divisors (206916990984).

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

120972045816 is a wasteful number, since it uses less digits than its factorization.

120972045816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314948 (or 1314941 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 120972045816 in words is "one hundred twenty billion, nine hundred seventy-two million, forty-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1279 2558 3837 5116 7674 10232 11511 15348 23022 30696 46044 92088 1313657 2627314 3940971 5254628 7881942 10509256 11822913 15763884 23645826 31527768 47291652 94583304 1680167303 3360334606 5040501909 6720669212 10081003818 13441338424 15121505727 20162007636 30243011454 40324015272 60486022908 120972045816