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10921454208 = 27357103487
BaseRepresentation
bin10100010101111100…
…00010101010000000
31001012010122100200000
422022332002222000
5134331343013313
65003420400000
7534433554240
oct121276025200
931163570600
1010921454208
1146a4970215
1221496a6000
131050886152
147586a5b20
1543dc26673
hex28af82a80

10921454208 has 384 divisors, whose sum is σ = 37686405120. Its totient is φ = 3083774976.

The previous prime is 10921454197. The next prime is 10921454209. The reversal of 10921454208 is 80245412901.

10921454208 is a `hidden beast` number, since 1 + 0 + 92 + 145 + 420 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (10921454209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22425741 + ... + 22426227.

It is an arithmetic number, because the mean of its divisors is an integer number (98141680).

Almost surely, 210921454208 is an apocalyptic number.

10921454208 is a gapful number since it is divisible by the number (18) 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 10921454208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18843202560).

10921454208 is an abundant number, since it is smaller than the sum of its proper divisors (26764950912).

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

10921454208 is an equidigital number, since it uses as much as digits as its factorization.

10921454208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10921454208 in words is "ten billion, nine hundred twenty-one million, four hundred fifty-four thousand, two hundred eight".