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557260244001 = 32177151298927
BaseRepresentation
bin10000001101111110100…
…11001000010000100001
31222021101102110111022100
420012333103020100201
533112232110302001
61104000221001013
755155266630256
oct10067723102041
91867342414270
10557260244001
111a53729752aa
12900013b3169
134071b0b1a66
141cd85c9542d
15e767a9b586
hex81bf4c8421

557260244001 has 24 divisors (see below), whose sum is σ = 864284338944. Its totient is φ = 344728782720.

The previous prime is 557260243987. The next prime is 557260244017. The reversal of 557260244001 is 100442062755.

It is a happy number.

557260244001 is a `hidden beast` number, since 5 + 5 + 7 + 2 + 602 + 4 + 40 + 0 + 1 = 666.

It is not a de Polignac number, because 557260244001 - 211 = 557260241953 is a prime.

It is a super-3 number, since 3×5572602440013 (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (557260244071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25638601 + ... + 25660326.

It is an arithmetic number, because the mean of its divisors is an integer number (36011847456).

Almost surely, 2557260244001 is an apocalyptic number.

557260244001 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

557260244001 is a deficient number, since it is larger than the sum of its proper divisors (307024094943).

557260244001 is a wasteful number, since it uses less digits than its factorization.

557260244001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51299021 (or 51299018 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 557260244001 in words is "five hundred fifty-seven billion, two hundred sixty million, two hundred forty-four thousand, one".

Divisors: 1 3 9 17 51 71 153 213 639 1207 3621 10863 51298927 153896781 461690343 872081759 2616245277 3642223817 7848735831 10926671451 32780014353 61917804889 185753414667 557260244001