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132938910720 = 21034571123181
BaseRepresentation
bin111101111001111000…
…1101100110000000000
3110201010202000101020000
41323303301230300000
54134224330120340
6141023222120000
712414231045120
oct1736361546000
9421122011200
10132938910720
1151419605270
1221920b80000
13c6c7a1a365
14661192cc80
1536d0d8bd30
hex1ef3c6cc00

132938910720 has 1760 divisors, whose sum is σ = 623172566016. Its totient is φ = 26276659200.

The previous prime is 132938910703. The next prime is 132938910773. The reversal of 132938910720 is 27019839231.

It is a tau number, because it is divible by the number of its divisors (1760).

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 159 ways as a sum of consecutive naturals, for example, 734469030 + ... + 734469210.

Almost surely, 2132938910720 is an apocalyptic number.

132938910720 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 132938910720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311586283008).

132938910720 is an abundant number, since it is smaller than the sum of its proper divisors (490233655296).

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

132938910720 is a wasteful number, since it uses less digits than its factorization.

132938910720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 132938910720 in words is "one hundred thirty-two billion, nine hundred thirty-eight million, nine hundred ten thousand, seven hundred twenty".