Search a number
-
+
274131490461696 = 211367231120877
BaseRepresentation
bin111110010101001000110110…
…000111000101100000000000
31022221121201021220110002000000
4332111020312013011200000
5241412332243024233241
62411010133532000000
7111512226612421500
oct7625106607054000
91287551256402000
10274131490461696
117a38a56a85509a
12268b4629600000
13b9c664769871a
144b9a06bbd3a00
1521a5bc8666eb6
hexf952361c5800

274131490461696 has 1008 divisors, whose sum is σ = 986838689229120. Its totient is φ = 75796098416640.

The previous prime is 274131490461649. The next prime is 274131490461721. The reversal of 274131490461696 is 696164094131472.

It is a happy number.

274131490461696 is a `hidden beast` number, since 2 + 7 + 4 + 1 + 3 + 1 + 4 + 9 + 0 + 4 + 616 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2267794410 + ... + 2267915286.

It is an arithmetic number, because the mean of its divisors is an integer number (979006636140).

Almost surely, 2274131490461696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 274131490461696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493419344614560).

274131490461696 is an abundant number, since it is smaller than the sum of its proper divisors (712707198767424).

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

274131490461696 is an equidigital number, since it uses as much as digits as its factorization.

274131490461696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120962 (or 120920 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 274131490461696 in words is "two hundred seventy-four trillion, one hundred thirty-one billion, four hundred ninety million, four hundred sixty-one thousand, six hundred ninety-six".