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132550716211200 = 214355271719231
BaseRepresentation
bin11110001000110111011110…
…010110101100000000000000
3122101022201120022120022200000
4132020313132112230000000
5114333202331322224300
61145524543002400000
736630321212602230
oct3610673626540000
9571281508508600
10132550716211200
1139264496790641
1212a49272800000
1358c662c201141
1424a36bb759cc0
15104ce35874c00
hex788dde5ac000

132550716211200 has 6480 divisors, whose sum is σ = 649138256492544. Its totient is φ = 26142887116800.

The previous prime is 132550716211097. The next prime is 132550716211237. The reversal of 132550716211200 is 2112617055231.

132550716211200 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 5 + 0 + 7 + 1 + 621 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 4275829555185 + ... + 4275829555215.

Almost surely, 2132550716211200 is an apocalyptic number.

132550716211200 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 132550716211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324569128246272).

132550716211200 is an abundant number, since it is smaller than the sum of its proper divisors (516587540281344).

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

132550716211200 is an equidigital number, since it uses as much as digits as its factorization.

132550716211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 132550716211200 in words is "one hundred thirty-two trillion, five hundred fifty billion, seven hundred sixteen million, two hundred eleven thousand, two hundred".