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132858685728 = 2534181503563
BaseRepresentation
bin111101110111011111…
…1101010100100100000
3110200221011001112020000
41323232333222210200
54134043310420403
6141011234420000
712412235124036
oct1735677524440
9420834045200
10132858685728
11513882a001a
12218ba131600
13c6b420b752
146605008556
1536c8ce17a3
hex1eeefea920

132858685728 has 240 divisors, whose sum is σ = 394372794816. Its totient is φ = 43875924480.

The previous prime is 132858685717. The next prime is 132858685793. The reversal of 132858685728 is 827586858231.

It is a happy number.

132858685728 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 58 + 6 + 8 + 572 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 235983175 + ... + 235983737.

Almost surely, 2132858685728 is an apocalyptic number.

132858685728 is a gapful number since it is divisible by the number (18) 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 132858685728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197186397408).

132858685728 is an abundant number, since it is smaller than the sum of its proper divisors (261514109088).

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

132858685728 is a wasteful number, since it uses less digits than its factorization.

132858685728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1252 counting only the distinct ones).

The product of its digits is 51609600, while the sum is 63.

The spelling of 132858685728 in words is "one hundred thirty-two billion, eight hundred fifty-eight million, six hundred eighty-five thousand, seven hundred twenty-eight".