Search a number
-
+
264021460724 = 2274109252209
BaseRepresentation
bin1111010111100011100…
…1111100011011110100
3221020111002221212021102
43311320321330123310
513311203443220344
6321142332105232
725034461250000
oct3657071743364
9836432855242
10264021460724
11a1a7526021a
1243204305218
131bb87c73008
14cac8ab3700
156d03c8ae4e
hex3d78e7c6f4

264021460724 has 60 divisors (see below), whose sum is σ = 543958961700. Its totient is φ = 112113517824.

The previous prime is 264021460697. The next prime is 264021460757. The reversal of 264021460724 is 427064120462.

It can be written as a sum of positive squares in 2 ways, for example, as 226749297124 + 37272163600 = 476182^2 + 193060^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 920732 + ... + 1172940.

It is an arithmetic number, because the mean of its divisors is an integer number (9065982695).

Almost surely, 2264021460724 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 264021460724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271979480850).

264021460724 is an abundant number, since it is smaller than the sum of its proper divisors (279937500976).

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

264021460724 is a wasteful number, since it uses less digits than its factorization.

264021460724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252350 (or 252327 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 38.

The spelling of 264021460724 in words is "two hundred sixty-four billion, twenty-one million, four hundred sixty thousand, seven hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 109 196 218 343 436 686 763 1372 1526 2401 3052 4802 5341 9604 10682 21364 37387 74774 149548 252209 261709 504418 523418 1008836 1046836 1765463 3530926 7061852 12358241 24716482 27490781 49432964 54981562 86507687 109963124 173015374 192435467 346030748 384870934 605553809 769741868 1211107618 1347048269 2422215236 2694096538 5388193076 9429337883 18858675766 37717351532 66005365181 132010730362 264021460724