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1071274014720 = 2113657131983
BaseRepresentation
bin11111001011011001110…
…10000011100000000000
310210102010221001112000000
433211230322003200000
5120022432121432340
62140045252000000
7140253111611220
oct17455472034000
93712127045000
101071274014720
11383363287098
12153753600000
137a036650650
1439bc8338080
151ccedb32d30
hexf96ce83800

1071274014720 has 2688 divisors, whose sum is σ = 5053038681600. Its totient is φ = 211550994432.

The previous prime is 1071274014709. The next prime is 1071274014737. The reversal of 1071274014720 is 274104721701.

It is a happy number.

1071274014720 is a `hidden beast` number, since 107 + 12 + 74 + 0 + 1 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×10712740147202 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 223 ways as a sum of consecutive naturals, for example, 12906915799 + ... + 12906915881.

It is an arithmetic number, because the mean of its divisors is an integer number (1879850700).

Almost surely, 21071274014720 is an apocalyptic number.

1071274014720 is a gapful number since it is divisible by the number (10) 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 1071274014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526519340800).

1071274014720 is an abundant number, since it is smaller than the sum of its proper divisors (3981764666880).

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

1071274014720 is an equidigital number, since it uses as much as digits as its factorization.

1071274014720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The spelling of 1071274014720 in words is "one trillion, seventy-one billion, two hundred seventy-four million, fourteen thousand, seven hundred twenty".