Search a number
-
+
274988450016 = 253572721709
BaseRepresentation
bin1000000000001101001…
…01101100000011100000
3222021210102021122100000
410000012211230003200
514001134020400031
6330154500500000
725603320154500
oct4000645540340
9867712248300
10274988450016
11a66928a1635
12453650aa600
131cc150b01a7
14d44942da00
1572469a93e6
hex400696c0e0

274988450016 has 216 divisors, whose sum is σ = 943364462040. Its totient is φ = 78568019712.

The previous prime is 274988450003. The next prime is 274988450059. The reversal of 274988450016 is 610054889472.

It is a happy number.

274988450016 is a `hidden beast` number, since 2 + 7 + 49 + 8 + 84 + 500 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-3 number, since 3×2749884500163 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20170 + ... + 741878.

It is an arithmetic number, because the mean of its divisors is an integer number (4367428065).

Almost surely, 2274988450016 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 274988450016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471682231020).

274988450016 is an abundant number, since it is smaller than the sum of its proper divisors (668376012024).

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

274988450016 is an equidigital number, since it uses as much as digits as its factorization.

274988450016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721748 (or 721721 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 274988450016 in words is "two hundred seventy-four billion, nine hundred eighty-eight million, four hundred fifty thousand, sixteen".