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542110153200000 = 273557112533363
BaseRepresentation
bin111101101000010111101101…
…1000111000101000110000000
32122002110020001200000211222020
41323100233123013011012000
51032023413043204400000
65200545544420241440
7222121110651335250
oct17320573307050600
92562406050024866
10542110153200000
11147807696776200
12509746b5540280
131a3649ca66bca8
1497c23b2a87960
1542a17e0da2ba0
hex1ed0bdb1c5180

542110153200000 has 1152 divisors, whose sum is σ = 2260985295179520. Its totient is φ = 112646054400000.

The previous prime is 542110153199999. The next prime is 542110153200001. The reversal of 542110153200000 is 2351011245.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (542110153199999) and next prime (542110153200001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542110153200001) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1016133319 + ... + 1016666681.

It is an arithmetic number, because the mean of its divisors is an integer number (1962660846510).

Almost surely, 2542110153200000 is an apocalyptic number.

542110153200000 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 542110153200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130492647589760).

542110153200000 is an abundant number, since it is smaller than the sum of its proper divisors (1718875141979520).

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

542110153200000 is an equidigital number, since it uses as much as digits as its factorization.

542110153200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533434 (or 533391 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 542110153200000 in words is "five hundred forty-two trillion, one hundred ten billion, one hundred fifty-three million, two hundred thousand".