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153475200000 = 2103255732
BaseRepresentation
bin1000111011101111010…
…1011011010000000000
3112200010221122222001200
42032323311123100000
510003304122400000
6154301110101200
714042154450453
oct2167365332000
9480127588050
10153475200000
115a0a7827371
12258b264a800
131161b544915
1475dd13549a
153ed3c3d500
hex23bbd5b400

153475200000 has 594 divisors, whose sum is σ = 561601684098. Its totient is φ = 40366080000.

The previous prime is 153475199953. The next prime is 153475200019. The reversal of 153475200000 is 2574351.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 151763226624 + 1711973376 = 389568^2 + 41376^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2102399964 + ... + 2102400036.

Almost surely, 2153475200000 is an apocalyptic number.

153475200000 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 153475200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280800842049).

153475200000 is an abundant number, since it is smaller than the sum of its proper divisors (408126484098).

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

153475200000 is an frugal number, since it uses more digits than its factorization.

153475200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

Adding to 153475200000 its reverse (2574351), we get a palindrome (153477774351).

The spelling of 153475200000 in words is "one hundred fifty-three billion, four hundred seventy-five million, two hundred thousand".