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132927750450 = 2325211231611291
BaseRepresentation
bin111101111001100011…
…1001000000100110010
3110201002222000101012200
41323303013020010302
54134214001003300
6141022143004030
712414034143645
oct1736307100462
9421088011180
10132927750450
1151413282400
1221919299616
13c6c5610651
146610265a5c
1536cedd5200
hex1ef31c8132

132927750450 has 432 divisors, whose sum is σ = 412175452416. Its totient is φ = 30650400000.

The previous prime is 132927750433. The next prime is 132927750451. The reversal of 132927750450 is 54057729231.

It is a happy number.

132927750450 is a `hidden beast` number, since 1 + 3 + 2 + 92 + 7 + 7 + 504 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 132927750396 and 132927750405.

It is not an unprimeable number, because it can be changed into a prime (132927750451) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 102964305 + ... + 102965595.

Almost surely, 2132927750450 is an apocalyptic number.

132927750450 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 132927750450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206087726208).

132927750450 is an abundant number, since it is smaller than the sum of its proper divisors (279247701966).

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

132927750450 is a wasteful number, since it uses less digits than its factorization.

132927750450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 132927750450 in words is "one hundred thirty-two billion, nine hundred twenty-seven million, seven hundred fifty thousand, four hundred fifty".