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56542948600 = 235217372631709
BaseRepresentation
bin110100101010001110…
…001110110011111000
312101221120112101202111
4310222032032303320
51411244443323400
641550411342104
74041121063435
oct645216166370
9171846471674
1056542948600
1121a86025196
12ab60151934
13544147a548
142a456b4b8c
15170decb3ba
hexd2a38ecf8

56542948600 has 192 divisors, whose sum is σ = 143585006400. Its totient is φ = 20620615680.

The previous prime is 56542948589. The next prime is 56542948601. The reversal of 56542948600 is 684924565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56542948601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33084546 + ... + 33086254.

It is an arithmetic number, because the mean of its divisors is an integer number (747838575).

Almost surely, 256542948600 is an apocalyptic number.

56542948600 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 56542948600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71792503200).

56542948600 is an abundant number, since it is smaller than the sum of its proper divisors (87042057800).

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

56542948600 is a wasteful number, since it uses less digits than its factorization.

56542948600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 49.

The spelling of 56542948600 in words is "fifty-six billion, five hundred forty-two million, nine hundred forty-eight thousand, six hundred".