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132651928900 = 22524132354129
BaseRepresentation
bin111101110001010101…
…0111100110101000100
3110200101202000012011201
41323202222330311010
54133132343211100
6140534531112244
712404144535331
oct1734252746504
9420352005151
10132651928900
1151291612607
1221860a42684
13c680429b2a
1465c5787988
1536b5aa036a
hex1ee2abcd44

132651928900 has 36 divisors (see below), whose sum is σ = 294875540820. Its totient is φ = 51766604800.

The previous prime is 132651928889. The next prime is 132651928901. The reversal of 132651928900 is 9829156231.

It can be written as a sum of positive squares in 6 ways, for example, as 23815279684 + 108836649216 = 154322^2 + 329904^2 .

It is not an unprimeable number, because it can be changed into a prime (132651928901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16172965 + ... + 16181164.

It is an arithmetic number, because the mean of its divisors is an integer number (8190987245).

Almost surely, 2132651928900 is an apocalyptic number.

132651928900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132651928900 is an abundant number, since it is smaller than the sum of its proper divisors (162223611920).

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

132651928900 is a wasteful number, since it uses less digits than its factorization.

132651928900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32354184 (or 32354177 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The spelling of 132651928900 in words is "one hundred thirty-two billion, six hundred fifty-one million, nine hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 32354129 64708258 129416516 161770645 323541290 647082580 808853225 1326519289 1617706450 2653038578 3235412900 5306077156 6632596445 13265192890 26530385780 33162982225 66325964450 132651928900