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8210798064 = 243372715211
BaseRepresentation
bin1111010010110011…
…01101010111110000
3210012020001202111000
413221121231113300
5113303431014224
63434425522000
7410320426530
oct75131552760
923166052430
108210798064
113533866127
121711943300
13a0b10b2c1
1457c69b4c0
15330c890c9
hex1e966d5f0

8210798064 has 80 divisors (see below), whose sum is σ = 26934903040. Its totient is φ = 2345941440.

The previous prime is 8210798041. The next prime is 8210798077. The reversal of 8210798064 is 4608970128.

It is a super-2 number, since 2×82107980642 (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1354582 + ... + 1360629.

It is an arithmetic number, because the mean of its divisors is an integer number (336686288).

Almost surely, 28210798064 is an apocalyptic number.

8210798064 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8210798064 is an abundant number, since it is smaller than the sum of its proper divisors (18724104976).

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

8210798064 is a wasteful number, since it uses less digits than its factorization.

8210798064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715235 (or 2715223 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 8210798064 is about 90613.4541003708. The cubic root of 8210798064 is about 2017.4144339825.

The spelling of 8210798064 in words is "eight billion, two hundred ten million, seven hundred ninety-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 2715211 5430422 8145633 10860844 16291266 19006477 21721688 24436899 32582532 38012954 43443376 48873798 57019431 65165064 73310697 76025908 97747596 114038862 130330128 146621394 152051816 171058293 195495192 228077724 293242788 304103632 342116586 390990384 456155448 513174879 586485576 684233172 912310896 1026349758 1172971152 1368466344 2052699516 2736932688 4105399032 8210798064