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132071924160 = 263251140910193
BaseRepresentation
bin111101100000000011…
…0011010000111000000
3110121220022121220020200
41323000012122013000
54130440403033120
6140401211405200
712353602555401
oct1730006320700
9417808556220
10132071924160
1151014181450
122171a753800
13c5ba212467
14656c7279a8
15367ebd1e90
hex1ec019a1c0

132071924160 has 336 divisors, whose sum is σ = 496830278880. Its totient is φ = 31936020480.

The previous prime is 132071924147. The next prime is 132071924209. The reversal of 132071924160 is 61429170231.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12952024 + ... + 12962216.

Almost surely, 2132071924160 is an apocalyptic number.

132071924160 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 132071924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248415139440).

132071924160 is an abundant number, since it is smaller than the sum of its proper divisors (364758354720).

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

132071924160 is a wasteful number, since it uses less digits than its factorization.

132071924160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10636 (or 10623 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 132071924160 in words is "one hundred thirty-two billion, seventy-one million, nine hundred twenty-four thousand, one hundred sixty".