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84433981554 = 23413196013511
BaseRepresentation
bin100111010100010101…
…0000101000001110010
322001221100102200020000
41032220222011001302
52340410044402204
6102442145130430
76046232000346
oct1165052050162
9261840380200
1084433981554
113289886604a
1214444929a16
137c67935140
14412d9bb626
1522e28bb039
hex13a8a85072

84433981554 has 160 divisors (see below), whose sum is σ = 214889727360. Its totient is φ = 24564384000.

The previous prime is 84433981543. The next prime is 84433981561. The reversal of 84433981554 is 45518933448.

It is a happy number.

84433981554 is a `hidden beast` number, since 8 + 4 + 4 + 3 + 3 + 9 + 81 + 554 = 666.

It is a super-2 number, since 2×844339815542 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 84433981554.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24046659 + ... + 24050169.

It is an arithmetic number, because the mean of its divisors is an integer number (1343060796).

Almost surely, 284433981554 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84433981554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107444863680).

84433981554 is an abundant number, since it is smaller than the sum of its proper divisors (130455745806).

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

84433981554 is a wasteful number, since it uses less digits than its factorization.

84433981554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4158 (or 4149 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 84433981554 in words is "eighty-four billion, four hundred thirty-three million, nine hundred eighty-one thousand, five hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 81 114 117 162 171 234 247 342 351 494 513 601 702 741 1026 1053 1202 1482 1539 1803 2106 2223 3078 3511 3606 4446 5409 6669 7022 7813 10533 10818 11419 13338 15626 16227 20007 21066 22838 23439 31599 32454 34257 40014 45643 46878 48681 63198 66709 68514 70317 91286 94797 97362 102771 133418 136929 140634 148447 189594 200127 205542 210951 273858 284391 296894 308313 400254 410787 421902 445341 568782 600381 616626 632853 821574 867217 890682 924939 1200762 1232361 1265706 1336023 1734434 1801143 1849878 2110111 2464722 2601651 2672046 3602286 3697083 4008069 4220222 5203302 5403429 6330333 7394166 7804953 8016138 10806858 12024207 12660666 15609906 18990999 23414859 24048414 27431443 37981998 40092109 46829718 54862886 56972997 70244577 80184218 82294329 113945994 120276327 140489154 164588658 170918991 240552654 246882987 341837982 360828981 493765974 521197417 721657962 740648961 1042394834 1082486943 1481297922 1563592251 2164973886 2221946883 3127184502 3247460829 4443893766 4690776753 6494921658 9381553506 14072330259 28144660518 42216990777 84433981554