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132099992640 = 263357112941167
BaseRepresentation
bin111101100000111000…
…1011110110001000000
3110121222021102220222000
41323001301132301000
54131020044231030
6140404053144000
712354363260610
oct1730161366100
9417867386860
10132099992640
1151029002740
122172802b000
13c5c2c8c225
146572352a40
1536823c8860
hex1ec1c5ec40

132099992640 has 1792 divisors, whose sum is σ = 619392614400. Its totient is φ = 25701580800.

The previous prime is 132099992621. The next prime is 132099992653. The reversal of 132099992640 is 46299990231.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 791017837 + ... + 791018003.

It is an arithmetic number, because the mean of its divisors is an integer number (345643200).

Almost surely, 2132099992640 is an apocalyptic number.

132099992640 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 132099992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309696307200).

132099992640 is an abundant number, since it is smaller than the sum of its proper divisors (487292621760).

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

132099992640 is a wasteful number, since it uses less digits than its factorization.

132099992640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 132099992640 in words is "one hundred thirty-two billion, ninety-nine million, nine hundred ninety-two thousand, six hundred forty".