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120923260416 = 293273124783
BaseRepresentation
bin111000010011110010…
…1101000011000000000
3102120010100110002200200
41300213211220120000
53440122323313131
6131315033045200
711510406516510
oct1604745503000
9376110402620
10120923260416
1147313034362
121b528b56800
13b5315661ca
145bd1bd9840
15322b0792e6
hex1c27968600

120923260416 has 720 divisors, whose sum is σ = 425969736192. Its totient is φ = 32329359360.

The previous prime is 120923260397. The next prime is 120923260417. The reversal of 120923260416 is 614062329021.

It is a happy number.

120923260416 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 2 + 32 + 604 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120923260417) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1456906711 + ... + 1456906793.

Almost surely, 2120923260416 is an apocalyptic number.

120923260416 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 120923260416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212984868096).

120923260416 is an abundant number, since it is smaller than the sum of its proper divisors (305046475776).

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

120923260416 is an equidigital number, since it uses as much as digits as its factorization.

120923260416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 120923260416 its reverse (614062329021), we get a palindrome (734985589437).

The spelling of 120923260416 in words is "one hundred twenty billion, nine hundred twenty-three million, two hundred sixty thousand, four hundred sixteen".