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4855689894969 = 321926725772
BaseRepresentation
bin100011010101000110110…
…1010111101110000111001
3122012012101101012020002100
41012222031222331300321
51114023423103114334
614154401222054013
71010545344052014
oct106521552756071
918165341166070
104855689894969
1116023173a3751
1266509487a309
13292b74585484
1412b03396037b
1586493421c99
hex46a8dabdc39

4855689894969 has 81 divisors (see below), whose sum is σ = 7527526799247. Its totient is φ = 3015743436288.

The previous prime is 4855689894961. The next prime is 4855689894997. The reversal of 4855689894969 is 9694989865584.

The square root of 4855689894969 is 2203563.

It is a perfect power (a square), and thus also a powerful number.

4855689894969 is a `hidden beast` number, since 4 + 8 + 55 + 68 + 9 + 8 + 9 + 496 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4822086605625 + 33603289344 = 2195925^2 + 183312^2 .

It is not a de Polignac number, because 4855689894969 - 23 = 4855689894961 is a prime.

It is a super-2 number, since 2×48556898949692 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (90) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4855689894961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8415406809 + ... + 8415407385.

Almost surely, 24855689894969 is an apocalyptic number.

4855689894969 is the 2203563-rd square number.

4855689894969 is the 1101782-nd centered octagonal number.

It is an amenable number.

4855689894969 is a deficient number, since it is larger than the sum of its proper divisors (2671836904278).

4855689894969 is an frugal number, since it uses more digits than its factorization.

4855689894969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 666 counting only the distinct ones).

The product of its digits is 48372940800, while the sum is 90.

The spelling of 4855689894969 in words is "four trillion, eight hundred fifty-five billion, six hundred eighty-nine million, eight hundred ninety-four thousand, nine hundred sixty-nine".

Divisors: 1 3 9 19 57 67 171 201 361 577 603 1083 1273 1731 3249 3819 4489 5193 10963 11457 13467 24187 32889 38659 40401 72561 85291 98667 115977 208297 217683 255873 332929 347931 624891 734521 767619 998787 1620529 1874673 2203563 2590153 2996361 4861587 6325651 6610689 7770459 13955899 14584761 18976953 22306243 23311377 41867697 49212907 56930859 66918729 120187369 125603091 147638721 200756187 360562107 423818617 442916163 935045233 1081686321 1271455851 1494518281 2805135699 3814367553 4483554843 8052553723 8415407097 13450664529 24157661169 28395847339 72472983507 85187542017 255562626051 539521099441 1618563298323 4855689894969