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10316730240 = 2735566337
BaseRepresentation
bin10011001101110110…
…01100111110000000
3222121222202012100000
421212323030332000
5132112040331430
64423415200000
7513441521505
oct114673147600
928558665300
1010316730240
114414586143
121bbb076000
13c854c530b
146dc24d4ac
15405ac3e60
hex266eccf80

10316730240 has 192 divisors, whose sum is σ = 36944958960. Its totient is φ = 2751086592.

The previous prime is 10316730167. The next prime is 10316730241. The reversal of 10316730240 is 4203761301.

10316730240 is a `hidden beast` number, since 1 + 0 + 316 + 7 + 302 + 40 = 666.

10316730240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10316730241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122352 + ... + 188688.

Almost surely, 210316730240 is an apocalyptic number.

10316730240 is a gapful number since it is divisible by the number (10) 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 10316730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18472479480).

10316730240 is an abundant number, since it is smaller than the sum of its proper divisors (26628228720).

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

10316730240 is an frugal number, since it uses more digits than its factorization.

10316730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66371 (or 66347 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 10316730240 in words is "ten billion, three hundred sixteen million, seven hundred thirty thousand, two hundred forty".