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132035989800 = 2335211132516131
BaseRepresentation
bin111101011110111110…
…1010101000100101000
3110121210211000020120110
41322331331111010220
54130402203133200
6140353445254320
712352655252451
oct1727575250450
9417724006513
10132035989800
1150aa5968430
122170a7043a0
13c5b2940320
146567a52128
15367b984b50
hex1ebdf55128

132035989800 has 384 divisors, whose sum is σ = 482864094720. Its totient is φ = 29424000000.

The previous prime is 132035989781. The next prime is 132035989817. The reversal of 132035989800 is 8989530231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 132035989800.

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, 21532735 + ... + 21538865.

It is an arithmetic number, because the mean of its divisors is an integer number (1257458580).

Almost surely, 2132035989800 is an apocalyptic number.

132035989800 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 132035989800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241432047360).

132035989800 is an abundant number, since it is smaller than the sum of its proper divisors (350828104920).

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

132035989800 is a wasteful number, since it uses less digits than its factorization.

132035989800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6425 (or 6416 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 132035989800 in words is "one hundred thirty-two billion, thirty-five million, nine hundred eighty-nine thousand, eight hundred".