Search a number
-
+
87314289334272 = 2113575111373
BaseRepresentation
bin10011110110100101110001…
…001100110001100000000000
3102110011011102221122102100000
4103312211301030301200000
542421024131032144042
6505411344125200000
724251151325500000
oct2366456114614000
9373134387572300
1087314289334272
1125903867061050
129962116a00000
133994918830510
14177c069a00000
15a163a202d74c
hex4f6971331800

87314289334272 has 3456 divisors, whose sum is σ = 363353702100480. Its totient is φ = 20647721041920.

The previous prime is 87314289334241. The next prime is 87314289334273. The reversal of 87314289334272 is 27243398241378.

It is a happy number.

87314289334272 is a `hidden beast` number, since 8 + 7 + 3 + 1 + 4 + 28 + 9 + 334 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87314289334273) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 1196086155228 + ... + 1196086155300.

It is an arithmetic number, because the mean of its divisors is an integer number (105137066580).

Almost surely, 287314289334272 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 87314289334272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181676851050240).

87314289334272 is an abundant number, since it is smaller than the sum of its proper divisors (276039412766208).

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

87314289334272 is an frugal number, since it uses more digits than its factorization.

87314289334272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 109 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 63.

The spelling of 87314289334272 in words is "eighty-seven trillion, three hundred fourteen billion, two hundred eighty-nine million, three hundred thirty-four thousand, two hundred seventy-two".