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1325132976480 = 253510142116491
BaseRepresentation
bin10011010010001000000…
…101001001000101100000
311200200101210110221110220
4103102020011021011200
5133202333020221410
62452431354323040
7164511013311315
oct23221005110540
94620353427426
101325132976480
11470a93023435
121949a0429480
1397c6204c161
14481cb468d0c
152470a613070
hex13488149160

1325132976480 has 192 divisors, whose sum is σ = 4217147940096. Its totient is φ = 349733120000.

The previous prime is 1325132976439. The next prime is 1325132976481. The reversal of 1325132976480 is 846792315231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1325132976481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204146035 + ... + 204152525.

It is an arithmetic number, because the mean of its divisors is an integer number (21964312188).

It is a 1-persistent number, because it is pandigital, but 2⋅1325132976480 = 2650265952960 is not.

Almost surely, 21325132976480 is an apocalyptic number.

1325132976480 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 1325132976480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108573970048).

1325132976480 is an abundant number, since it is smaller than the sum of its proper divisors (2892014963616).

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

1325132976480 is a wasteful number, since it uses less digits than its factorization.

1325132976480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10821 (or 10813 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 1325132976480 in words is "one trillion, three hundred twenty-five billion, one hundred thirty-two million, nine hundred seventy-six thousand, four hundred eighty".