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132077393910 = 2355711264171
BaseRepresentation
bin111101100000001101…
…1010001011111110110
3110121220200220210100000
41323000123101133312
54130443303101120
6140401524532130
712354000216240
oct1730033213766
9417820823300
10132077393910
1151017277a00
1221720551046
13c5bb3a8cb7
14656d34d090
153680412990
hex1ec06d17f6

132077393910 has 288 divisors, whose sum is σ = 447364060416. Its totient is φ = 27444225600.

The previous prime is 132077393873. The next prime is 132077393927. The reversal of 132077393910 is 19393770231.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2026125 + ... + 2090295.

It is an arithmetic number, because the mean of its divisors is an integer number (1553347432).

Almost surely, 2132077393910 is an apocalyptic number.

132077393910 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 132077393910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223682030208).

132077393910 is an abundant number, since it is smaller than the sum of its proper divisors (315286666506).

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

132077393910 is a wasteful number, since it uses less digits than its factorization.

132077393910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64222 (or 64199 counting only the distinct ones).

The product of its (nonzero) digits is 214326, while the sum is 45.

The spelling of 132077393910 in words is "one hundred thirty-two billion, seventy-seven million, three hundred ninety-three thousand, nine hundred ten".