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490894000129 = 131731493146197
BaseRepresentation
bin1110010010010111001…
…00000000000000000001
31201221002020122222202001
413021023210000000001
531020322331001004
61013302534024001
750315545103641
oct7111344000001
91657066588661
10490894000129
1117a206957a75
127b17b4a8001
13373a2736080
1419a8bad8521
15cb814b91a4
hex724b900001

490894000129 has 16 divisors (see below), whose sum is σ = 532070662032. Its totient is φ = 450208827648.

The previous prime is 490894000123. The next prime is 490894000141. The reversal of 490894000129 is 921000498094.

It can be written as a sum of positive squares in 8 ways, for example, as 46302432400 + 444591567729 = 215180^2 + 666777^2 .

It is a cyclic number.

It is not a de Polignac number, because 490894000129 - 223 = 490885611521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (490894000123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3284659 + ... + 3430855.

It is an arithmetic number, because the mean of its divisors is an integer number (33254416377).

It is a Proth number, since it is equal to 468153 ⋅ 220 + 1 and 468153 < 220.

Almost surely, 2490894000129 is an apocalyptic number.

It is an amenable number.

490894000129 is a deficient number, since it is larger than the sum of its proper divisors (41176661903).

490894000129 is a wasteful number, since it uses less digits than its factorization.

490894000129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147876.

The product of its (nonzero) digits is 186624, while the sum is 46.

The spelling of 490894000129 in words is "four hundred ninety billion, eight hundred ninety-four million, one hundred twenty-nine", and thus it is an aban number.

Divisors: 1 13 173 1493 2249 19409 146197 258289 1900561 3357757 25292081 218272121 328797053 2837537573 37761076933 490894000129