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53846494416 = 2438111317211
BaseRepresentation
bin110010001001100000…
…000100110011010000
312010222122200100000000
4302021200010303100
51340234200310131
640423045130000
73614236436121
oct621140046320
9163878610000
1053846494416
1120921a40260
12a5290b9900
135101935a20
14286b526048
1516023e6ce6
hexc89804cd0

53846494416 has 720 divisors, whose sum is σ = 195577357248. Its totient is φ = 14108774400.

The previous prime is 53846494411. The next prime is 53846494417. The reversal of 53846494416 is 61449464835.

53846494416 is a `hidden beast` number, since 5 + 3 + 84 + 64 + 94 + 416 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53846494411) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 255196551 + ... + 255196761.

Almost surely, 253846494416 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 53846494416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97788678624).

53846494416 is an abundant number, since it is smaller than the sum of its proper divisors (141730862832).

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

53846494416 is a wasteful number, since it uses less digits than its factorization.

53846494416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 257 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 53846494416 in words is "fifty-three billion, eight hundred forty-six million, four hundred ninety-four thousand, four hundred sixteen".