Search a number
-
+
274020649056 = 25367211193137
BaseRepresentation
bin1111111100110011100…
…1110100100001100000
3222012021222012021000000
43333030321310201200
513442143241232211
6325514445300000
725540326041400
oct3771471644140
9865258167000
10274020649056
11a6236570430
1245134b64600
131cabc737bbb
14d396aa4800
1571dba38656
hex3fcce74860

274020649056 has 2016 divisors, whose sum is σ = 1145461201920. Its totient is φ = 63489484800.

The previous prime is 274020649009. The next prime is 274020649057. The reversal of 274020649056 is 650946020472.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×2740206490562 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274020649057) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 7405963470 + ... + 7405963506.

It is an arithmetic number, because the mean of its divisors is an integer number (568185120).

Almost surely, 2274020649056 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 274020649056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572730600960).

274020649056 is an abundant number, since it is smaller than the sum of its proper divisors (871440552864).

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

274020649056 is a wasteful number, since it uses less digits than its factorization.

274020649056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 274020649056 in words is "two hundred seventy-four billion, twenty million, six hundred forty-nine thousand, fifty-six".