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84793623808 = 2817232633221
BaseRepresentation
bin100111011111000011…
…0000000010100000000
322002212102011101122111
41032332012000110000
52342124131430213
6102541553345104
76061156624135
oct1167606002400
9262772141574
1084793623808
1132a62876653
1214525268194
137cc42b60ca
14416567858c
15231425ba3d
hex13be180500

84793623808 has 144 divisors (see below), whose sum is σ = 187773417216. Its totient is φ = 38011043840.

The previous prime is 84793623773. The next prime is 84793623823. The reversal of 84793623808 is 80832639748.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26323638 + ... + 26326858.

It is an arithmetic number, because the mean of its divisors is an integer number (1303982064).

Almost surely, 284793623808 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 84793623808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93886708608).

84793623808 is an abundant number, since it is smaller than the sum of its proper divisors (102979793408).

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

84793623808 is a wasteful number, since it uses less digits than its factorization.

84793623808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540 (or 3526 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 58.

The spelling of 84793623808 in words is "eighty-four billion, seven hundred ninety-three million, six hundred twenty-three thousand, eight hundred eight".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 128 136 184 256 263 272 368 391 526 544 736 782 1052 1088 1472 1564 2104 2176 2944 3128 3221 4208 4352 4471 5888 6049 6256 6442 8416 8942 12098 12512 12884 16832 17884 24196 25024 25768 33664 35768 48392 50048 51536 54757 67328 71536 74083 96784 100096 102833 103072 109514 143072 148166 193568 205666 206144 219028 286144 296332 387136 411332 412288 438056 572288 592664 774272 822664 824576 847123 876112 1144576 1185328 1259411 1548544 1645328 1694246 1752224 2370656 2518822 3290656 3388492 3504448 4741312 5037644 6581312 6776984 7008896 9482624 10075288 13162624 13553968 14017792 14401091 18965248 19483829 20150576 26325248 27107936 28802182 38967658 40301152 54215872 57604364 77935316 80602304 108431744 115208728 155870632 161204608 216863488 230417456 311741264 322409216 331225093 460834912 623482528 662450186 921669824 1246965056 1324900372 1843339648 2493930112 2649800744 3686679296 4987860224 5299601488 10599202976 21198405952 42396811904 84793623808