Search a number
-
+
2054710496736 = 25353724129633
BaseRepresentation
bin11101111001100110010…
…010100000110111100000
321021102120022022001100000
4131321212102200313200
5232131021341343421
64211530532500000
7301306433024322
oct35714622406740
97242508261300
102054710496736
11722441566847
1229227247a600
1311b9b219b871
147163ca41612
15386ab190226
hex1de664a0de0

2054710496736 has 288 divisors, whose sum is σ = 6249297102048. Its totient is φ = 663605084160.

The previous prime is 2054710496599. The next prime is 2054710496753. The reversal of 2054710496736 is 6376940174502.

2054710496736 is a `hidden beast` number, since 2 + 0 + 54 + 71 + 0 + 496 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69323776 + ... + 69353408.

It is an arithmetic number, because the mean of its divisors is an integer number (21698948271).

Almost surely, 22054710496736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2054710496736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124648551024).

2054710496736 is an abundant number, since it is smaller than the sum of its proper divisors (4194586605312).

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

2054710496736 is a wasteful number, since it uses less digits than its factorization.

2054710496736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29936 (or 29916 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 2054710496736 in words is "two trillion, fifty-four billion, seven hundred ten million, four hundred ninety-six thousand, seven hundred thirty-six".