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676389464802 = 232376197171641
BaseRepresentation
bin10011101011110111111…
…01000010101011100010
32101122212202002221022100
421311323331002223202
542040221200333202
61234421245351230
766603363405642
oct11657375025342
92348782087270
10676389464802
11240945246097
12ab109568516
134ba24a63b5c
1424a476ca522
15128db39841c
hex9d7bf42ae2

676389464802 has 96 divisors (see below), whose sum is σ = 1545573045744. Its totient is φ = 213547622400.

The previous prime is 676389464801. The next prime is 676389464819. The reversal of 676389464802 is 208464983676.

676389464802 is a `hidden beast` number, since 6 + 7 + 63 + 8 + 94 + 6 + 480 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 206425744281 + 469963720521 = 454341^2 + 685539^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 676389464802.

It is not an unprimeable number, because it can be changed into a prime (676389464801) 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 47 ways as a sum of consecutive naturals, for example, 3854902 + ... + 4026542.

Almost surely, 2676389464802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 676389464802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772786522872).

676389464802 is an abundant number, since it is smaller than the sum of its proper divisors (869183580942).

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

676389464802 is a wasteful number, since it uses less digits than its factorization.

676389464802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171844 (or 171841 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 676389464802 in words is "six hundred seventy-six billion, three hundred eighty-nine million, four hundred sixty-four thousand, eight hundred two".

Divisors: 1 2 3 6 9 18 37 61 74 97 111 122 183 194 222 291 333 366 549 582 666 873 1098 1746 2257 3589 4514 5917 6771 7178 10767 11834 13542 17751 20313 21534 32301 35502 40626 53253 64602 106506 171641 218929 343282 437858 514923 656787 1029846 1313574 1544769 1970361 3089538 3940722 6350717 10470101 12701434 16649177 19052151 20940202 31410303 33298354 38104302 49947531 57156453 62820606 94230909 99895062 114312906 149842593 188461818 299685186 387393737 616019549 774787474 1015599797 1162181211 1232039098 1848058647 2031199594 2324362422 3046799391 3486543633 3696117294 5544175941 6093598782 6973087266 9140398173 11088351882 18280796346 37577192489 75154384978 112731577467 225463154934 338194732401 676389464802