Search a number
-
+
3276809053056 = 273272117517027
BaseRepresentation
bin101111101011110001000…
…010100010001110000000
3102121021000110100010122100
4233223301002202032000
5412141401104144211
610545202330110400
7455512245246300
oct57536102421600
912537013303570
103276809053056
111053761314320
1244b09887b400
131aa003b64ba6
14b4854043600
155a385e76156
hex2faf10a2380

3276809053056 has 576 divisors, whose sum is σ = 11983653077760. Its totient is φ = 849864960000.

The previous prime is 3276809053027. The next prime is 3276809053061. The reversal of 3276809053056 is 6503509086723.

It is a happy number.

3276809053056 is a `hidden beast` number, since 3 + 27 + 6 + 80 + 9 + 0 + 530 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 3276809052993 and 3276809053011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 466313415 + ... + 466320441.

It is an arithmetic number, because the mean of its divisors is an integer number (20804953260).

Almost surely, 23276809053056 is an apocalyptic number.

3276809053056 is a gapful number since it is divisible by the number (36) 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 3276809053056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991826538880).

3276809053056 is an abundant number, since it is smaller than the sum of its proper divisors (8706844024704).

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

3276809053056 is a wasteful number, since it uses less digits than its factorization.

3276809053056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7823 (or 7801 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 3276809053056 in words is "three trillion, two hundred seventy-six billion, eight hundred nine million, fifty-three thousand, fifty-six".