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11454403000950 = 2325272133417379
BaseRepresentation
bin1010011010101110111110…
…0111110011101001110110
31111120000211001001211202100
42212223233213303221312
53000132104132012300
640210025144522530
72261360533024500
oct246535747635166
944500731054670
1011454403000950
11371686a973118
12134bb34480446
136511b7a76000
142b8578b24d70
1514ce4e275700
hexa6aef9f3a76

11454403000950 has 1728 divisors, whose sum is σ = 40780177401600. Its totient is φ = 2296072396800.

The previous prime is 11454403000927. The next prime is 11454403000981. The reversal of 11454403000950 is 5900030445411.

It is a happy number.

11454403000950 is a `hidden beast` number, since 114 + 54 + 403 + 0 + 0 + 0 + 95 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 144992443011 + ... + 144992443089.

It is an arithmetic number, because the mean of its divisors is an integer number (23599639700).

Almost surely, 211454403000950 is an apocalyptic number.

11454403000950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11454403000950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20390088700800).

11454403000950 is an abundant number, since it is smaller than the sum of its proper divisors (29325774400650).

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

11454403000950 is a wasteful number, since it uses less digits than its factorization.

11454403000950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 11454403000950 in words is "eleven trillion, four hundred fifty-four billion, four hundred three million, nine hundred fifty", and thus it is an aban number.