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556141125441 = 311472111699381
BaseRepresentation
bin10000001011111001001…
…10000001111101000001
31222011111102122101020210
420011330212001331001
533102434112003231
61103253202224333
755115460366036
oct10057446017501
91864442571223
10556141125441
111a4949191a30
128b94a6550a9
13405a0298c25
141ccbb3bb38d
15e6ee6daa46
hex817c981f41

556141125441 has 32 divisors (see below), whose sum is σ = 830059739136. Its totient is φ = 328320216000.

The previous prime is 556141125427. The next prime is 556141125457. The reversal of 556141125441 is 144521141655.

It is a happy number.

It is not a de Polignac number, because 556141125441 - 27 = 556141125313 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 556141125441.

It is not an unprimeable number, because it can be changed into a prime (556141125541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 522430 + ... + 1176951.

It is an arithmetic number, because the mean of its divisors is an integer number (25939366848).

Almost surely, 2556141125441 is an apocalyptic number.

It is an amenable number.

556141125441 is a deficient number, since it is larger than the sum of its proper divisors (273918613695).

556141125441 is a wasteful number, since it uses less digits than its factorization.

556141125441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699653.

The product of its digits is 96000, while the sum is 39.

The spelling of 556141125441 in words is "five hundred fifty-six billion, one hundred forty-one million, one hundred twenty-five thousand, four hundred forty-one".

Divisors: 1 3 11 33 47 141 211 517 633 1551 2321 6963 9917 29751 109087 327261 1699381 5098143 18693191 56079573 79870907 239612721 358569391 878579977 1075708173 2635739931 3944263301 11832789903 16852761377 50558284131 185380375147 556141125441