Search a number
-
+
556581649936 = 24132143472
BaseRepresentation
bin10000001100101101101…
…10011111111000010000
31222012122010120100020211
420012112312133320100
533104334400244221
61103405020213504
755132416652024
oct10062666377020
91865563510224
10556581649936
111a5054916564
128ba5209a294
1340640628a00
141cd1dad0384
15e7282066e1
hex8196d9fe10

556581649936 has 45 divisors (see below), whose sum is σ = 1167791344461. Its totient is φ = 256865933376.

The previous prime is 556581649873. The next prime is 556581649973. The reversal of 556581649936 is 639946185655.

The square root of 556581649936 is 746044.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 82334563600 + 474247086336 = 286940^2 + 688656^2 .

It is a super-5 number, since 5×5565816499365 (a number of 60 digits) contains 55555 as substring.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 38787115 + ... + 38801461.

Almost surely, 2556581649936 is an apocalyptic number.

556581649936 is the 746044-th square number.

It is an amenable number.

556581649936 is an abundant number, since it is smaller than the sum of its proper divisors (611209694525).

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

556581649936 is an frugal number, since it uses more digits than its factorization.

556581649936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28728 (or 14362 counting only the distinct ones).

The product of its digits is 209952000, while the sum is 67.

The spelling of 556581649936 in words is "five hundred fifty-six billion, five hundred eighty-one million, six hundred forty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 14347 28694 57388 114776 186511 229552 373022 746044 1492088 2424643 2984176 4849286 9698572 19397144 38794288 205836409 411672818 823345636 1646691272 2675873317 3293382544 5351746634 10703493268 21406986536 34786353121 42813973072 69572706242 139145412484 278290824968 556581649936