Search a number
-
+
1328626997856 = 25332979671219
BaseRepresentation
bin10011010101011000010…
…101110001101001100000
311201000102022002121202000
4103111120111301221200
5133232012002412411
62454210211324000
7164663421100464
oct23253025615140
94630368077660
101328626997856
11472516337404
121955b65b0600
139839aba4422
144843d50c4a4
152486223d956
hex13558571a60

1328626997856 has 192 divisors, whose sum is σ = 4059538560000. Its totient is φ = 422190752256.

The previous prime is 1328626997791. The next prime is 1328626997869. The reversal of 1328626997856 is 6587996268231.

It is a happy number.

1328626997856 is a `hidden beast` number, since 1 + 3 + 286 + 269 + 9 + 7 + 85 + 6 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1643815 + ... + 2315033.

It is an arithmetic number, because the mean of its divisors is an integer number (21143430000).

Almost surely, 21328626997856 is an apocalyptic number.

1328626997856 is a gapful number since it is divisible by the number (16) 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 1328626997856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029769280000).

1328626997856 is an abundant number, since it is smaller than the sum of its proper divisors (2730911562144).

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

1328626997856 is a wasteful number, since it uses less digits than its factorization.

1328626997856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671346 (or 671332 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 72.

The spelling of 1328626997856 in words is "one trillion, three hundred twenty-eight billion, six hundred twenty-six million, nine hundred ninety-seven thousand, eight hundred fifty-six".