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8434010052 = 22321343941051
BaseRepresentation
bin1111101101011010…
…01100011111000100
3210202210002002202200
413312231030133010
5114233101310202
63512522034500
7416000621406
oct76655143704
923683062680
108434010052
113638862646
121774648a30
13a454319c0
145a01a2b76
1534567ae1c
hex1f6b4c7c4

8434010052 has 72 divisors (see below), whose sum is σ = 23012109120. Its totient is φ = 2589105600.

The previous prime is 8434009979. The next prime is 8434010069. The reversal of 8434010052 is 2500104348.

It is a super-2 number, since 2×84340100522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8434009998 and 8434010025.

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 23 ways as a sum of consecutive naturals, for example, 184927 + ... + 225977.

Almost surely, 28434010052 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 8434010052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11506054560).

8434010052 is an abundant number, since it is smaller than the sum of its proper divisors (14578099068).

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

8434010052 is a wasteful number, since it uses less digits than its factorization.

8434010052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41513 (or 41508 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 8434010052 is about 91836.8665188442. The cubic root of 8434010052 is about 2035.5324870316.

The spelling of 8434010052 in words is "eight billion, four hundred thirty-four million, ten thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 439 468 878 1317 1756 2634 3951 5268 5707 7902 11414 15804 17121 22828 34242 41051 51363 68484 82102 102726 123153 164204 205452 246306 369459 492612 533663 738918 1067326 1477836 1600989 2134652 3201978 4802967 6403956 9605934 18021389 19211868 36042778 54064167 72085556 108128334 162192501 216256668 234278057 324385002 468556114 648770004 702834171 937112228 1405668342 2108502513 2811336684 4217005026 8434010052