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84628978320 = 24354745716417
BaseRepresentation
bin100111011010001000…
…1111011101010010000
322002102221100112111110
41032310101323222100
52341310004301240
6102513352413320
76054120306135
oct1166421735220
9262387315443
1084628978320
1132988940aa7
121449a0a7240
137c9915a043
14414b85a58c
152304a87c80
hex13b447ba90

84628978320 has 160 divisors (see below), whose sum is σ = 268534384128. Its totient is φ = 22037889024.

The previous prime is 84628978319. The next prime is 84628978351. The reversal of 84628978320 is 2387982648.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5146752 + ... + 5163168.

Almost surely, 284628978320 is an apocalyptic number.

84628978320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84628978320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134267192064).

84628978320 is an abundant number, since it is smaller than the sum of its proper divisors (183905405808).

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

84628978320 is a wasteful number, since it uses less digits than its factorization.

84628978320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16937 (or 16931 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 84628978320 in words is "eighty-four billion, six hundred twenty-eight million, nine hundred seventy-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 457 470 564 705 752 914 940 1128 1371 1410 1828 1880 2256 2285 2742 2820 3656 3760 4570 5484 5640 6855 7312 9140 10968 11280 13710 16417 18280 21479 21936 27420 32834 36560 42958 49251 54840 64437 65668 82085 85916 98502 107395 109680 128874 131336 164170 171832 197004 214790 246255 257748 262672 322185 328340 343664 394008 429580 492510 515496 644370 656680 771599 788016 859160 985020 1030992 1288740 1313360 1543198 1718320 1970040 2314797 2577480 3086396 3857995 3940080 4629594 5154960 6172792 7502569 7715990 9259188 11573985 12345584 15005138 15431980 18518376 22507707 23147970 30010276 30863960 37036752 37512845 45015414 46295940 60020552 61727920 75025690 90030828 92591880 112538535 120041104 150051380 180061656 185183760 225077070 300102760 352620743 360123312 450154140 600205520 705241486 900308280 1057862229 1410482972 1763103715 1800616560 2115724458 2820965944 3526207430 4231448916 5289311145 5641931888 7052414860 8462897832 10578622290 14104829720 16925795664 21157244580 28209659440 42314489160 84628978320