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94406400000 = 211325511149
BaseRepresentation
bin101011111101100001…
…1110101100000000000
3100000200100022000120100
41113323003311200000
53021321014300000
6111211504442400
76551323105533
oct1277303654000
9300610260510
1094406400000
1137045a51690
1216368619400
138b969b6363
1447d8200a1a
1526c812ba00
hex15fb0f5800

94406400000 has 864 divisors, whose sum is σ = 374284638000. Its totient is φ = 22732800000.

The previous prime is 94406399953. The next prime is 94406400007. The reversal of 94406400000 is 460449.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94406400007) 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 71 ways as a sum of consecutive naturals, for example, 633599926 + ... + 633600074.

Almost surely, 294406400000 is an apocalyptic number.

94406400000 is a gapful number since it is divisible by the number (90) 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 94406400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187142319000).

94406400000 is an abundant number, since it is smaller than the sum of its proper divisors (279878238000).

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

94406400000 is a wasteful number, since it uses less digits than its factorization.

94406400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 94406400000 its reverse (460449), we get a palindrome (94406860449).

The spelling of 94406400000 in words is "ninety-four billion, four hundred six million, four hundred thousand".