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132508948015680 = 26351925166143787
BaseRepresentation
bin11110001000010000100100…
…110001101010101001000000
3122101011201202102100010220120
4132020100210301222221000
5114332011311143000210
61145453434221140240
736624312155026365
oct3610204461525100
9571151672303816
10132508948015680
1139248802721095
1212a411566ba680
1358c2703a15c52
1424a16783d446c
15104bcdda18270
hex788424c6aa40

132508948015680 has 448 divisors, whose sum is σ = 445306052459520. Its totient is φ = 33291371520000.

The previous prime is 132508948015679. The next prime is 132508948015723. The reversal of 132508948015680 is 86510849805231.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3026194747 + ... + 3026238533.

It is an arithmetic number, because the mean of its divisors is an integer number (993986724240).

Almost surely, 2132508948015680 is an apocalyptic number.

132508948015680 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 132508948015680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222653026229760).

132508948015680 is an abundant number, since it is smaller than the sum of its proper divisors (312797104443840).

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

132508948015680 is a wasteful number, since it uses less digits than its factorization.

132508948015680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44738 (or 44728 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 60.

The spelling of 132508948015680 in words is "one hundred thirty-two trillion, five hundred eight billion, nine hundred forty-eight million, fifteen thousand, six hundred eighty".