Search a number
-
+
120658274048 = 2813174720753
BaseRepresentation
bin111000001011111001…
…0110010011100000000
3102112102212211101201202
41300113302302130000
53434102004232143
6131232445320332
711501011256504
oct1602762623400
9375385741652
10120658274048
11471974a5164
121b4742660a8
13b4bb6a7440
145ba893c304
153212b84ab8
hex1c17cb2700

120658274048 has 72 divisors (see below), whose sum is σ = 259532754768. Its totient is φ = 55653875712.

The previous prime is 120658274017. The next prime is 120658274057. The reversal of 120658274048 is 840472856021.

It is a junction number, because it is equal to n+sod(n) for n = 120658273993 and 120658274011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5803640 + ... + 5824392.

It is an arithmetic number, because the mean of its divisors is an integer number (3604621594).

Almost surely, 2120658274048 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 120658274048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129766377384).

120658274048 is an abundant number, since it is smaller than the sum of its proper divisors (138874480720).

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

120658274048 is a wasteful number, since it uses less digits than its factorization.

120658274048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22529 (or 22515 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 47.

The spelling of 120658274048 in words is "one hundred twenty billion, six hundred fifty-eight million, two hundred seventy-four thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 1747 3328 3494 6988 13976 20753 22711 27952 41506 45422 55904 83012 90844 111808 166024 181688 223616 269789 332048 363376 447232 539578 664096 726752 1079156 1328192 1453504 2158312 2656384 2907008 4316624 5312768 5814016 8633248 17266496 34532992 36255491 69065984 72510982 145021964 290043928 471321383 580087856 942642766 1160175712 1885285532 2320351424 3770571064 4640702848 7541142128 9281405696 15082284256 30164568512 60329137024 120658274048