Search a number
-
+
55969854336 = 2734114491093
BaseRepresentation
bin110100001000000100…
…000011001110000000
312100110122011012020000
4310020010003032000
51404111240314321
641413500120000
74020661624614
oct641004031600
9170418135200
1055969854336
1121811583a70
12aa20236000
13537c812406
1429cd533344
1516c8a25826
hexd08103380

55969854336 has 320 divisors, whose sum is σ = 182278998000. Its totient is φ = 16907304960.

The previous prime is 55969854331. The next prime is 55969854361. The reversal of 55969854336 is 63345896955.

55969854336 is a `hidden beast` number, since 5 + 59 + 6 + 9 + 8 + 543 + 36 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55969854331) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51207006 + ... + 51208098.

Almost surely, 255969854336 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 55969854336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91139499000).

55969854336 is an abundant number, since it is smaller than the sum of its proper divisors (126309143664).

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

55969854336 is a wasteful number, since it uses less digits than its factorization.

55969854336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1558 counting only the distinct ones).

The product of its digits is 104976000, while the sum is 63.

The spelling of 55969854336 in words is "fifty-five billion, nine hundred sixty-nine million, eight hundred fifty-four thousand, three hundred thirty-six".