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556532412121 = 7217262692
BaseRepresentation
bin10000001100100111110…
…10101010111011011001
31222012111200220210200001
420012103322222323121
533104234244141441
61103400101013001
755131251310400
oct10062372527331
91865450823601
10556532412121
111a502a046454
128ba396b4161
13406333794ca
141cd17354637
15e723c2c731
hex8193eaaed9

556532412121 has 27 divisors (see below), whose sum is σ = 687826735869. Its totient is φ = 448895707008.

The previous prime is 556532412071. The next prime is 556532412169. The reversal of 556532412121 is 121214235655.

The square root of 556532412121 is 746011.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6508455625 + 550023956496 = 80675^2 + 741636^2 .

It is not a de Polignac number, because 556532412121 - 213 = 556532403929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (556532452121) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 88772175 + ... + 88778443.

Almost surely, 2556532412121 is an apocalyptic number.

556532412121 is the 746011-st square number.

556532412121 is the 373006-th centered octagonal number.

It is an amenable number.

556532412121 is a deficient number, since it is larger than the sum of its proper divisors (131294323748).

556532412121 is an frugal number, since it uses more digits than its factorization.

556532412121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12586 (or 6293 counting only the distinct ones).

The product of its digits is 72000, while the sum is 37.

Adding to 556532412121 its reverse (121214235655), we get a palindrome (677746647776).

The spelling of 556532412121 in words is "five hundred fifty-six billion, five hundred thirty-two million, four hundred twelve thousand, one hundred twenty-one".

Divisors: 1 7 17 49 119 289 833 2023 6269 14161 43883 106573 307181 746011 1811741 5222077 12682187 39300361 88775309 275102527 668106137 1925717689 4676742959 11357804329 32737200713 79504630303 556532412121