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270796921739136 = 27331321932402293
BaseRepresentation
bin111101100100100111010010…
…010100111001011110000000
31022111210221012002002201022000
4331210213102110321132000
5240443214043431123021
62355534215523344000
7111016301110066242
oct7544472224713600
91274727162081260
10270796921739136
117931436972a221
1226456311222000
13b81406a289100
144ac28d8a76092
1521490b19c4b26
hexf649d2539780

270796921739136 has 384 divisors, whose sum is σ = 869919664197600. Its totient is φ = 82890374381568.

The previous prime is 270796921739131. The next prime is 270796921739137. The reversal of 270796921739136 is 631937129697072.

It is a happy number.

270796921739136 is a `hidden beast` number, since 2 + 70 + 79 + 6 + 92 + 17 + 391 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270796921739131) 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 47 ways as a sum of consecutive naturals, for example, 111523206 + ... + 113925498.

Almost surely, 2270796921739136 is an apocalyptic number.

270796921739136 is a gapful number since it is divisible by the number (26) 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 270796921739136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434959832098800).

270796921739136 is an abundant number, since it is smaller than the sum of its proper divisors (599122742458464).

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

270796921739136 is a wasteful number, since it uses less digits than its factorization.

270796921739136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402535 (or 2402504 counting only the distinct ones).

The product of its (nonzero) digits is 324060912, while the sum is 72.

The spelling of 270796921739136 in words is "two hundred seventy trillion, seven hundred ninety-six billion, nine hundred twenty-one million, seven hundred thirty-nine thousand, one hundred thirty-six".