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808967089944 = 233413199482569
BaseRepresentation
bin10111100010110100011…
…00100010111100011000
32212100002022022002220000
423301122030202330120
5101223231033334234
61415345004133000
7112305646544256
oct13613214427430
92770068262800
10808967089944
11292098918132
12110949537160
135b392976260
142b2232515d6
151609a66c899
hexbc5a322f18

808967089944 has 160 divisors (see below), whose sum is σ = 2452420740000. Its totient is φ = 247661618688.

The previous prime is 808967089877. The next prime is 808967089999. The reversal of 808967089944 is 449980769808.

It is a super-2 number, since 2×8089670899442 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1435092 + ... + 1917660.

It is an arithmetic number, because the mean of its divisors is an integer number (15327629625).

Almost surely, 2808967089944 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 808967089944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226210370000).

808967089944 is an abundant number, since it is smaller than the sum of its proper divisors (1643453650056).

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

808967089944 is a wasteful number, since it uses less digits than its factorization.

808967089944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482799 (or 482786 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 808967089944 in words is "eight hundred eight billion, nine hundred sixty-seven million, eighty-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 199 216 234 312 324 351 398 468 597 648 702 796 936 1053 1194 1404 1592 1791 2106 2388 2587 2808 3582 4212 4776 5174 5373 7164 7761 8424 10348 10746 14328 15522 16119 20696 21492 23283 31044 32238 42984 46566 62088 64476 69849 93132 128952 139698 186264 209547 279396 419094 482569 558792 838188 965138 1447707 1676376 1930276 2895414 3860552 4343121 5790828 6273397 8686242 11581656 12546794 13029363 17372484 18820191 25093588 26058726 34744968 37640382 39088089 50187176 52117452 56460573 75280764 78176178 96031231 104234904 112921146 150561528 156352356 169381719 192062462 225842292 288093693 312704712 338763438 384124924 451684584 508145157 576187386 677526876 768249848 864281079 1016290314 1152374772 1248406003 1355053752 1728562158 2032580628 2304749544 2496812006 2592843237 3457124316 3745218009 4065161256 4993624012 5185686474 6914248632 7490436018 7778529711 9987248024 10371372948 11235654027 14980872036 15557059422 20742745896 22471308054 29961744072 31114118844 33706962081 44942616108 62228237688 67413924162 89885232216 101120886243 134827848324 202241772486 269655696648 404483544972 808967089944