Search a number
-
+
6161378496 = 2637134359139
BaseRepresentation
bin1011011110011111…
…10010110011000000
3120220101201110100120
411233033302303000
5100104303102441
62455215420240
7305453565420
oct55717626300
916811643316
106161378496
112681a34949
12123b524680
1377264cac0
1442641a480
15260db3966
hex16f3f2cc0

6161378496 has 448 divisors, whose sum is σ = 21028761600. Its totient is φ = 1549062144.

The previous prime is 6161378479. The next prime is 6161378497. The reversal of 6161378496 is 6948731616.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (6161378497) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44326395 + ... + 44326533.

It is an arithmetic number, because the mean of its divisors is an integer number (46939200).

Almost surely, 26161378496 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 6161378496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10514380800).

6161378496 is an abundant number, since it is smaller than the sum of its proper divisors (14867383104).

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

6161378496 is a wasteful number, since it uses less digits than its factorization.

6161378496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 266 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 6161378496 is about 78494.4488228308. The cubic root of 6161378496 is about 1833.2680211517.

The spelling of 6161378496 in words is "six billion, one hundred sixty-one million, three hundred seventy-eight thousand, four hundred ninety-six".