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10055010564 = 2232279305849
BaseRepresentation
bin10010101110101001…
…10100100100000100
3221221202021110102200
421113110310210010
5131043040314224
64341425434500
7504113115414
oct112724644404
927852243380
1010055010564
11429a878295
121b4749ba30
13c4320b3c1
146b55a2644
153dcb275c9
hex257534904

10055010564 has 18 divisors (see below), whose sum is σ = 25416832350. Its totient is φ = 3351670176.

The previous prime is 10055010551. The next prime is 10055010571. The reversal of 10055010564 is 46501055001.

It is a happy number.

10055010564 is a `hidden beast` number, since 1 + 0 + 0 + 550 + 105 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9262137600 + 792872964 = 96240^2 + 28158^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×100550105642 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139652889 + ... + 139652960.

Almost surely, 210055010564 is an apocalyptic number.

It is an amenable number.

10055010564 is an abundant number, since it is smaller than the sum of its proper divisors (15361821786).

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

10055010564 is a wasteful number, since it uses less digits than its factorization.

10055010564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279305859 (or 279305854 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 10055010564 its reverse (46501055001), we get a palindrome (56556065565).

The spelling of 10055010564 in words is "ten billion, fifty-five million, ten thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 279305849 558611698 837917547 1117223396 1675835094 2513752641 3351670188 5027505282 10055010564