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1325481322032 = 243374347732971
BaseRepresentation
bin10011010010011100110…
…101111110011000110000
311200201022001221201202000
4103102130311332120300
5133204041204301112
62452530120454000
7164522443225110
oct23223465763060
94621261851660
101325481322032
1147115171861a
12194a7901a300
1397cb927629a
1448221825040
152472aec17dc
hex1349cd7e630

1325481322032 has 640 divisors, whose sum is σ = 4607720325120. Its totient is φ = 356951992320.

The previous prime is 1325481322003. The next prime is 1325481322037. The reversal of 1325481322032 is 2302231845231.

1325481322032 is a `hidden beast` number, since 1 + 3 + 254 + 81 + 322 + 0 + 3 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1325481322037) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 446138307 + ... + 446141277.

It is an arithmetic number, because the mean of its divisors is an integer number (7199563008).

Almost surely, 21325481322032 is an apocalyptic number.

1325481322032 is a gapful number since it is divisible by the number (12) 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 1325481322032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303860162560).

1325481322032 is an abundant number, since it is smaller than the sum of its proper divisors (3282239003088).

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

1325481322032 is a wasteful number, since it uses less digits than its factorization.

1325481322032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158 (or 3146 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 1325481322032 in words is "one trillion, three hundred twenty-five billion, four hundred eighty-one million, three hundred twenty-two thousand, thirty-two".