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53995144320 = 2735513171571
BaseRepresentation
bin110010010010010111…
…001000010010000000
312011101000101112100000
4302102113020102000
51341040224104240
640445515200000
73621023103555
oct622227102200
9164330345300
1053995144320
1120998940117
12a56aa46000
135126681250
14288317ca2c
1516104ab430
hexc925c8480

53995144320 has 768 divisors, whose sum is σ = 220620516480. Its totient is φ = 12501319680.

The previous prime is 53995144309. The next prime is 53995144321. The reversal of 53995144320 is 2344159935.

53995144320 is a `hidden beast` number, since 5 + 3 + 99 + 514 + 43 + 2 + 0 = 666.

It is a super-2 number, since 2×539951443202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (53995144321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34369135 + ... + 34370705.

Almost surely, 253995144320 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 53995144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110310258240).

53995144320 is an abundant number, since it is smaller than the sum of its proper divisors (166625372160).

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

53995144320 is a wasteful number, since it uses less digits than its factorization.

53995144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 53995144320 in words is "fifty-three billion, nine hundred ninety-five million, one hundred forty-four thousand, three hundred twenty".