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10946784420 = 223351113141761
BaseRepresentation
bin10100011000111101…
…01010110010100100
31001020220022021012000
422030132222302210
5134404334100140
65010123325300
7535162063245
oct121436526244
931226267160
1010946784420
1147081a1180
122156080830
131055bb4740
1475bbbaccc
1544107ba30
hex28c7aaca4

10946784420 has 192 divisors, whose sum is σ = 40010906880. Its totient is φ = 2449612800.

The previous prime is 10946784419. The next prime is 10946784439. The reversal of 10946784420 is 2448764901.

10946784420 is a `hidden beast` number, since 1 + 0 + 94 + 67 + 84 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6340 + ... + 148100.

It is an arithmetic number, because the mean of its divisors is an integer number (208390140).

Almost surely, 210946784420 is an apocalyptic number.

10946784420 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 10946784420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20005453440).

10946784420 is an abundant number, since it is smaller than the sum of its proper divisors (29064122460).

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

10946784420 is a wasteful number, since it uses less digits than its factorization.

10946784420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141803 (or 141795 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 10946784420 in words is "ten billion, nine hundred forty-six million, seven hundred eighty-four thousand, four hundred twenty".