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53504830800 = 243352101181271
BaseRepresentation
bin110001110101001000…
…101110110101010000
312010002211210000122000
4301311020232311100
51334034214041200
640325122114000
73602620362231
oct616510566520
9163084700560
1053504830800
112076709a333
12a4527ab900
135078c0b0c5
142837dc9088
1515d2408300
hexc7522ed50

53504830800 has 480 divisors, whose sum is σ = 194099243520. Its totient is φ = 13996800000.

The previous prime is 53504830789. The next prime is 53504830823. The reversal of 53504830800 is 803840535.

53504830800 is a `hidden beast` number, since 53 + 50 + 483 + 0 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 197434665 + ... + 197434935.

It is an arithmetic number, because the mean of its divisors is an integer number (404373424).

Almost surely, 253504830800 is an apocalyptic number.

53504830800 is a gapful number since it is divisible by the number (50) 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 53504830800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97049621760).

53504830800 is an abundant number, since it is smaller than the sum of its proper divisors (140594412720).

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

53504830800 is a wasteful number, since it uses less digits than its factorization.

53504830800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 53504830800 in words is "fifty-three billion, five hundred four million, eight hundred thirty thousand, eight hundred".