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28657134906 = 2317733383291
BaseRepresentation
bin11010101100000110…
…010010110100111010
32201222011110021202220
4122230012102310322
5432142211304111
621055341504510
72033102425161
oct325406226472
981864407686
1028657134906
1111176229674
125679272136
1329190cc47a
14155bd6a3d8
15b2acbce06
hex6ac192d3a

28657134906 has 32 divisors (see below), whose sum is σ = 60768646848. Its totient is φ = 8978184960.

The previous prime is 28657134851. The next prime is 28657134907. The reversal of 28657134906 is 60943175682.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (28657134907) 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 15 ways as a sum of consecutive naturals, for example, 116880 + ... + 266411.

It is an arithmetic number, because the mean of its divisors is an integer number (1899020214).

It is a 1-persistent number, because it is pandigital, but 2⋅28657134906 = 57314269812 is not.

Almost surely, 228657134906 is an apocalyptic number.

28657134906 is an abundant number, since it is smaller than the sum of its proper divisors (32111511942).

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

28657134906 is a wasteful number, since it uses less digits than its factorization.

28657134906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384046.

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 28657134906 in words is "twenty-eight billion, six hundred fifty-seven million, one hundred thirty-four thousand, nine hundred six".

Divisors: 1 2 3 6 17 34 51 102 733 1466 2199 4398 12461 24922 37383 74766 383291 766582 1149873 2299746 6515947 13031894 19547841 39095682 280952303 561904606 842856909 1685713818 4776189151 9552378302 14328567453 28657134906