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132914625480 = 2332571323176401
BaseRepresentation
bin111101111001001010…
…1000011101111001000
3110201002001022120010200
41323302111003233020
54134202121003410
6141020553412200
712413514450510
oct1736225035710
9421061276120
10132914625480
115140692841a
1221914a0a060
13c6c29965b0
14660c60a840
1536cdb913c0
hex1ef2543bc8

132914625480 has 384 divisors, whose sum is σ = 554777233920. Its totient is φ = 26824089600.

The previous prime is 132914625449. The next prime is 132914625499. The reversal of 132914625480 is 84526419231.

132914625480 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 14 + 625 + 4 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 665280 + ... + 841680.

It is an arithmetic number, because the mean of its divisors is an integer number (1444732380).

Almost surely, 2132914625480 is an apocalyptic number.

132914625480 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 132914625480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277388616960).

132914625480 is an abundant number, since it is smaller than the sum of its proper divisors (421862608440).

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

132914625480 is a wasteful number, since it uses less digits than its factorization.

132914625480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176461 (or 176454 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 132914625480 in words is "one hundred thirty-two billion, nine hundred fourteen million, six hundred twenty-five thousand, four hundred eighty".