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1912142115072 = 283371931229293
BaseRepresentation
bin11011110100110100100…
…011010011000100000000
320202210120110201212022000
4123310310203103010000
5222312031340140242
64022232001344000
7255101443542660
oct33646443230400
96683513655260
101912142115072
11677a31413532
1226a704638000
1310b411487407
14687962821a0
1534b14c36a4c
hex1bd348d3100

1912142115072 has 1152 divisors, whose sum is σ = 7076622336000. Its totient is φ = 496987176960.

The previous prime is 1912142115071. The next prime is 1912142115073. The reversal of 1912142115072 is 2705112412191.

It is a happy number.

1912142115072 is a `hidden beast` number, since 1 + 9 + 1 + 2 + 142 + 1 + 1 + 507 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1912142115071) and next prime (1912142115073).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1912142115071) 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 127 ways as a sum of consecutive naturals, for example, 6526082158 + ... + 6526082450.

Almost surely, 21912142115072 is an apocalyptic number.

1912142115072 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 1912142115072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538311168000).

1912142115072 is an abundant number, since it is smaller than the sum of its proper divisors (5164480220928).

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

1912142115072 is a wasteful number, since it uses less digits than its factorization.

1912142115072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 1912142115072 in words is "one trillion, nine hundred twelve billion, one hundred forty-two million, one hundred fifteen thousand, seventy-two".