Search a number
-
+
1325620976328 = 23321147160922133
BaseRepresentation
bin10011010010100101001…
…010101101101011001000
311200201122210201220102100
4103102211022231223020
5133204332432220303
62452552030033400
7164526060245355
oct23224512555310
94621583656370
101325620976328
114712135339a0
12194ab7948860
139800c19216c
14482361b962c
15247383aa8a3
hex134a52adac8

1325620976328 has 192 divisors, whose sum is σ = 4002606316800. Its totient is φ = 392894346240.

The previous prime is 1325620976327. The next prime is 1325620976353. The reversal of 1325620976328 is 8236790265231.

1325620976328 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 620 + 9 + 7 + 6 + 3 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1325620976327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59882350 + ... + 59904482.

It is an arithmetic number, because the mean of its divisors is an integer number (20846907900).

Almost surely, 21325620976328 is an apocalyptic number.

1325620976328 is a gapful number since it is divisible by the number (18) 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 1325620976328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001303158400).

1325620976328 is an abundant number, since it is smaller than the sum of its proper divisors (2676985340472).

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

1325620976328 is a wasteful number, since it uses less digits than its factorization.

1325620976328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23812 (or 23805 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 1325620976328 in words is "one trillion, three hundred twenty-five billion, six hundred twenty million, nine hundred seventy-six thousand, three hundred twenty-eight".