Search a number
-
+
2705040616320 = 273257312164171
BaseRepresentation
bin100111010111010000111…
…111000010101110000000
3100120121011221011002101100
4213113100333002232000
5323304410344210240
65430402320134400
7366301266602010
oct47272077025600
910517157132340
102705040616320
119532239a9099
12378308767400
131681130b1103
1494cd33c9c40
154a56e860e30
hex275d0fc2b80

2705040616320 has 384 divisors, whose sum is σ = 11019617556480. Its totient is φ = 598349721600.

The previous prime is 2705040616319. The next prime is 2705040616321. The reversal of 2705040616320 is 236160405072.

2705040616320 is a `hidden beast` number, since 2 + 7 + 0 + 5 + 0 + 4 + 0 + 616 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2705040616319) and next prime (2705040616321).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2705040616321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167835 + ... + 2332005.

It is an arithmetic number, because the mean of its divisors is an integer number (28696920720).

Almost surely, 22705040616320 is an apocalyptic number.

2705040616320 is a gapful number since it is divisible by the number (20) 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 2705040616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5509808778240).

2705040616320 is an abundant number, since it is smaller than the sum of its proper divisors (8314576940160).

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

2705040616320 is a wasteful number, since it uses less digits than its factorization.

2705040616320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164234 (or 2164219 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 2705040616320 in words is "two trillion, seven hundred five billion, forty million, six hundred sixteen thousand, three hundred twenty".