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542886272006400 = 28365272232672
BaseRepresentation
bin111101101110000001000111…
…1011001010111100100000000
32122012012102100201111021000000
41323130002033121113210000
51032124122041113201100
65202342302124000000
7222231144624340200
oct17334021731274400
92565172321437000
10542886272006400
11147a86858593763
1250a7abb6090000
131a3bcc56b18b7a
14980bb9b49c400
1542b6ab7820900
hex1edc08f657900

542886272006400 has 5103 divisors, whose sum is σ = 2487034280432961. Its totient is φ = 116921608151040.

The previous prime is 542886272006383. The next prime is 542886272006503. The reversal of 542886272006400 is 4600272688245.

The square root of 542886272006400 is 23299920.

It is a perfect power (a square), and thus also a powerful number.

542886272006400 is a `hidden beast` number, since 5 + 4 + 2 + 8 + 8 + 6 + 27 + 200 + 6 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 195439057922304 + 347447214084096 = 13979952^2 + 18639936^2 .

It is a tau number, because it is divible by the number of its divisors (5103).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 566 ways as a sum of consecutive naturals, for example, 8102780179167 + ... + 8102780179233.

Almost surely, 2542886272006400 is an apocalyptic number.

542886272006400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

542886272006400 is the 23299920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542886272006400

542886272006400 is an abundant number, since it is smaller than the sum of its proper divisors (1944148008426561).

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

542886272006400 is an frugal number, since it uses more digits than its factorization.

542886272006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 542886272006400 in words is "five hundred forty-two trillion, eight hundred eighty-six billion, two hundred seventy-two million, six thousand, four hundred".