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8424716080 = 24511411032267
BaseRepresentation
bin1111101100010011…
…01111011100110000
3210202010120220211111
413312021233130300
5114223211403310
63511550523104
7415525622314
oct76611573460
923663526744
108424716080
113633594980
121771506494
13a43529601
1459cc63b44
1534494228a
hex1f626f730

8424716080 has 160 divisors (see below), whose sum is σ = 22111584768. Its totient is φ = 2958489600.

The previous prime is 8424716029. The next prime is 8424716101. The reversal of 8424716080 is 806174248.

It is a super-2 number, since 2×84247160802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 31 ways as a sum of consecutive naturals, for example, 3715107 + ... + 3717373.

Almost surely, 28424716080 is an apocalyptic number.

8424716080 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 8424716080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11055792384).

8424716080 is an abundant number, since it is smaller than the sum of its proper divisors (13686868688).

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

8424716080 is a wasteful number, since it uses less digits than its factorization.

8424716080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 8424716080 is about 91786.2521296082. The cubic root of 8424716080 is about 2034.7845179900.

The spelling of 8424716080 in words is "eight billion, four hundred twenty-four million, seven hundred sixteen thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 103 110 164 176 205 206 220 328 410 412 440 451 515 656 820 824 880 902 1030 1133 1640 1648 1804 2060 2255 2266 2267 3280 3608 4120 4223 4510 4532 4534 5665 7216 8240 8446 9020 9064 9068 11330 11335 16892 18040 18128 18136 21115 22660 22670 24937 33784 36080 36272 42230 45320 45340 46453 49874 67568 84460 90640 90680 92906 92947 99748 124685 168920 181360 185812 185894 199496 232265 233501 249370 337840 371624 371788 398992 464530 464735 467002 498740 743248 743576 929060 929470 934004 997480 1022417 1167505 1487152 1858120 1858940 1868008 1994960 2044834 2335010 2568511 3716240 3717880 3736016 4089668 4670020 5112085 5137022 7435760 8179336 9340040 9573541 10224170 10274044 12842555 16358672 18680080 19147082 20448340 20548088 25685110 38294164 40896680 41096176 47867705 51370220 76588328 81793360 95735410 102740440 105308951 153176656 191470820 205480880 210617902 382941640 421235804 526544755 765883280 842471608 1053089510 1684943216 2106179020 4212358040 8424716080