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52672921056 = 25367476863
BaseRepresentation
bin110001000011100011…
…001111110111100000
312000221212101122000000
4301003203033313200
51330333231433211
640110403300000
73543166304340
oct610343176740
9160855348000
1052672921056
112037a544218
12a26007a600
134c75764c12
142799714d20
15158437b656
hexc438cfde0

52672921056 has 336 divisors, whose sum is σ = 181496899584. Its totient is φ = 14727059712.

The previous prime is 52672921033. The next prime is 52672921117. The reversal of 52672921056 is 65012927625.

52672921056 is a `hidden beast` number, since 526 + 72 + 9 + 2 + 1 + 0 + 56 = 666.

52672921056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×526729210562 (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 55 ways as a sum of consecutive naturals, for example, 7671481 + ... + 7678343.

It is an arithmetic number, because the mean of its divisors is an integer number (540169344).

Almost surely, 252672921056 is an apocalyptic number.

52672921056 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 52672921056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90748449792).

52672921056 is an abundant number, since it is smaller than the sum of its proper divisors (128823978528).

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

52672921056 is an equidigital number, since it uses as much as digits as its factorization.

52672921056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6945 (or 6922 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 52672921056 in words is "fifty-two billion, six hundred seventy-two million, nine hundred twenty-one thousand, fifty-six".