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53003585376 = 25327223732237
BaseRepresentation
bin110001010111010000…
…101000011101100000
312001210220121010011200
4301113100220131200
51332022404213001
640203254441200
73554323020300
oct612720503540
9161726533150
1053003585376
112052a162215
12a332963200
134cc910b191
1427cb5cb600
1515a33e6086
hexc57428760

53003585376 has 432 divisors, whose sum is σ = 185550359904. Its totient is φ = 14280634368.

The previous prime is 53003585357. The next prime is 53003585381. The reversal of 53003585376 is 67358530035.

53003585376 is a `hidden beast` number, since 5 + 30 + 0 + 3 + 585 + 37 + 6 = 666.

It is a super-2 number, since 2×530035853762 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23692930 + ... + 23695166.

It is an arithmetic number, because the mean of its divisors is an integer number (429514722).

Almost surely, 253003585376 is an apocalyptic number.

53003585376 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 53003585376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92775179952).

53003585376 is an abundant number, since it is smaller than the sum of its proper divisors (132546774528).

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

53003585376 is a wasteful number, since it uses less digits than its factorization.

53003585376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 53003585376 in words is "fifty-three billion, three million, five hundred eighty-five thousand, three hundred seventy-six".