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1900427139072 = 2113373119109
BaseRepresentation
bin11011101001111010010…
…010001101100000000000
320201200100000221102101000
4123221322102031200000
5222114033321422242
64013013313012000
7254205233103000
oct33517222154000
96650300842330
101900427139072
11672a6a637690
12268395254000
1310a2953a8c57
1467da445a000
153467b517a4c
hex1ba7a48d800

1900427139072 has 768 divisors, whose sum is σ = 7162646400000. Its totient is φ = 493563248640.

The previous prime is 1900427139059. The next prime is 1900427139073. The reversal of 1900427139072 is 2709317240091.

1900427139072 is a `hidden beast` number, since 1 + 90 + 0 + 42 + 71 + 390 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×19004271390722 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1900427139073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 208627254 + ... + 208636362.

It is an arithmetic number, because the mean of its divisors is an integer number (9326362500).

Almost surely, 21900427139072 is an apocalyptic number.

1900427139072 is a gapful number since it is divisible by the number (12) 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 1900427139072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3581323200000).

1900427139072 is an abundant number, since it is smaller than the sum of its proper divisors (5262219260928).

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

1900427139072 is an equidigital number, since it uses as much as digits as its factorization.

1900427139072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9172 (or 9132 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 1900427139072 in words is "one trillion, nine hundred billion, four hundred twenty-seven million, one hundred thirty-nine thousand, seventy-two".