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52929408000 = 210353722997
BaseRepresentation
bin110001010010110101…
…101010110000000000
312001121202000111221110
4301102311222300000
51331344412024000
640152044523320
73552432354600
oct612265526000
9161552014843
1052929408000
11204a12a86a7
12a311b50540
134cb6939141
1427c17dcc00
15159bb42850
hexc52d6ac00

52929408000 has 1056 divisors, whose sum is σ = 214054626240. Its totient is φ = 11560550400.

The previous prime is 52929407989. The next prime is 52929408001. The reversal of 52929408000 is 80492925.

It is a self number, because there is not a number n which added to its sum of digits gives 52929408000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52929408001) 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, 545663952 + ... + 545664048.

Almost surely, 252929408000 is an apocalyptic number.

52929408000 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 52929408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107027313120).

52929408000 is an abundant number, since it is smaller than the sum of its proper divisors (161125218240).

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

52929408000 is a wasteful number, since it uses less digits than its factorization.

52929408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 52929408000 in words is "fifty-two billion, nine hundred twenty-nine million, four hundred eight thousand".