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989269487064 = 2337347162947
BaseRepresentation
bin11100110010101010000…
…11100110110111011000
310111120110220001220000000
432121111003212313120
5112202010442041224
62034244130213000
7131321006616525
oct16312503466730
93446426056000
10989269487064
11351601920791
1213b888424160
13723981476c1
1435c4928614c
151aaee6aa0c9
hexe6550e6dd8

989269487064 has 128 divisors (see below), whose sum is σ = 2789930476800. Its totient is φ = 328804170912.

The previous prime is 989269487027. The next prime is 989269487069. The reversal of 989269487064 is 460784962989.

989269487064 is a `hidden beast` number, since 9 + 89 + 2 + 6 + 9 + 487 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 989269486983 and 989269487001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (989269487069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5989639 + ... + 6152585.

It is an arithmetic number, because the mean of its divisors is an integer number (21796331850).

Almost surely, 2989269487064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 989269487064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394965238400).

989269487064 is an abundant number, since it is smaller than the sum of its proper divisors (1800660989736).

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

989269487064 is a wasteful number, since it uses less digits than its factorization.

989269487064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163321 (or 163299 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 989269487064 in words is "nine hundred eighty-nine billion, two hundred sixty-nine million, four hundred eighty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 347 486 648 694 729 972 1041 1388 1458 1944 2082 2187 2776 2916 3123 4164 4374 5832 6246 8328 8748 9369 12492 17496 18738 24984 28107 37476 56214 74952 84321 112428 162947 168642 224856 252963 325894 337284 488841 505926 651788 674568 758889 977682 1011852 1303576 1466523 1517778 1955364 2023704 2933046 3035556 3910728 4399569 5866092 6071112 8799138 11732184 13198707 17598276 26397414 35196552 39596121 52794828 56542609 79192242 105589656 113085218 118788363 158384484 169627827 226170436 237576726 316768968 339255654 356365089 452340872 475153452 508883481 678511308 712730178 950306904 1017766962 1357022616 1425460356 1526650443 2035533924 2850920712 3053300886 4071067848 4579951329 6106601772 9159902658 12213203544 13739853987 18319805316 27479707974 36639610632 41219561961 54959415948 82439123922 109918831896 123658685883 164878247844 247317371766 329756495688 494634743532 989269487064