Search a number
-
+
132357554020 = 225531049119033
BaseRepresentation
bin111101101000100011…
…1111111111101100100
3110122122020002101202101
41323101013333331210
54132032013212040
6140445413421444
712363641434456
oct1732107777544
9418566071671
10132357554020
115115043038a
122179a33a884
13c63444b503
14659863a2d6
153699d0309a
hex1ed11fff64

132357554020 has 48 divisors (see below), whose sum is σ = 283467567600. Its totient is φ = 51894142976.

The previous prime is 132357554011. The next prime is 132357554033. The reversal of 132357554020 is 20455753231.

It is a happy number.

132357554020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 16296054336 + 116061499684 = 127656^2 + 340678^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1052424 + ... + 1171456.

It is an arithmetic number, because the mean of its divisors is an integer number (5905574325).

Almost surely, 2132357554020 is an apocalyptic number.

132357554020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132357554020 is an abundant number, since it is smaller than the sum of its proper divisors (151110013580).

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

132357554020 is a wasteful number, since it uses less digits than its factorization.

132357554020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120144 (or 120142 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 37.

The spelling of 132357554020 in words is "one hundred thirty-two billion, three hundred fifty-seven million, five hundred fifty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1049 1060 2098 4196 5245 10490 20980 55597 111194 119033 222388 238066 277985 476132 555970 595165 1111940 1190330 2380660 6308749 12617498 25234996 31543745 63087490 124865617 126174980 249731234 499462468 624328085 1248656170 2497312340 6617877701 13235755402 26471510804 33089388505 66178777010 132357554020