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132720454944 = 253271124312653
BaseRepresentation
bin111101110011011000…
…0010110110100100000
3110200120111221200020100
41323212300112310200
54133302414024234
6140545415542400
712405636152610
oct1734660266440
9420514850210
10132720454944
1151317267200
122187b98aa00
13c6916a079c
1465d0904a40
1536bbad9399
hex1ee6c16d20

132720454944 has 432 divisors, whose sum is σ = 485183514816. Its totient is φ = 33668490240.

The previous prime is 132720454927. The next prime is 132720454973. The reversal of 132720454944 is 449454027231.

132720454944 is a `hidden beast` number, since 1 + 32 + 72 + 0 + 4 + 549 + 4 + 4 = 666.

It is a super-2 number, since 2×1327204549442 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132720454944.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10482922 + ... + 10495574.

It is an arithmetic number, because the mean of its divisors is an integer number (1123109988).

Almost surely, 2132720454944 is an apocalyptic number.

132720454944 is a gapful number since it is divisible by the number (14) 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 132720454944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242591757408).

132720454944 is an abundant number, since it is smaller than the sum of its proper divisors (352463059872).

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

132720454944 is a wasteful number, since it uses less digits than its factorization.

132720454944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12741 (or 12719 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 132720454944 in words is "one hundred thirty-two billion, seven hundred twenty million, four hundred fifty-four thousand, nine hundred forty-four".