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132977988000 = 253253111321987
BaseRepresentation
bin111101111011000011…
…0110001000110100000
3110201020110112201011200
41323312012301012200
54134314331104000
6141031135441200
712415214151054
oct1736606610640
9421213481150
10132977988000
1151439675640
1221932086200
13c702b4cc00
146616bc1c64
1536d450a500
hex1ef61b11a0

132977988000 has 864 divisors, whose sum is σ = 557772651072. Its totient is φ = 29742336000.

The previous prime is 132977987983. The next prime is 132977988023. The reversal of 132977988000 is 889779231.

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, 66923007 + ... + 66924993.

It is an arithmetic number, because the mean of its divisors is an integer number (645570198).

Almost surely, 2132977988000 is an apocalyptic number.

132977988000 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 132977988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278886325536).

132977988000 is an abundant number, since it is smaller than the sum of its proper divisors (424794663072).

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

132977988000 is a wasteful number, since it uses less digits than its factorization.

132977988000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 132977988000 in words is "one hundred thirty-two billion, nine hundred seventy-seven million, nine hundred eighty-eight thousand".