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53801188896 = 25371313744953
BaseRepresentation
bin110010000110110011…
…001111111000100000
312010212111102120111210
4302012303033320200
51340141101021041
640414350110120
73613146363060
oct620663177040
9163774376453
1053801188896
11208a9406584
12a515aab340
1350c5432320
1428654d13a0
1515ed448016
hexc86ccfe20

53801188896 has 192 divisors, whose sum is σ = 175091874048. Its totient is φ = 14085439488.

The previous prime is 53801188891. The next prime is 53801188927. The reversal of 53801188896 is 69888110835.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (53801188891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1174356 + ... + 1219308.

It is an arithmetic number, because the mean of its divisors is an integer number (911936844).

Almost surely, 253801188896 is an apocalyptic number.

53801188896 is a gapful number since it is divisible by the number (56) 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 53801188896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87545937024).

53801188896 is an abundant number, since it is smaller than the sum of its proper divisors (121290685152).

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

53801188896 is a wasteful number, since it uses less digits than its factorization.

53801188896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45123 (or 45115 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 57.

The spelling of 53801188896 in words is "fifty-three billion, eight hundred one million, one hundred eighty-eight thousand, eight hundred ninety-six".