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8434209696 = 2531153150697
BaseRepresentation
bin1111101101011011…
…11101001110100000
3210202210110020121220
413312231331032200
5114233124202241
63512530215040
7416002412433
oct76655751640
923683406556
108434209696
113638989640
121774724480
13a454a1833
145a021581a
153456ba166
hex1f6b7d3a0

8434209696 has 96 divisors (see below), whose sum is σ = 24608380608. Its totient is φ = 2507581440.

The previous prime is 8434209691. The next prime is 8434209703. The reversal of 8434209696 is 6969024348.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×84342096962 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (8434209691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19381 + ... + 131316.

It is an arithmetic number, because the mean of its divisors is an integer number (256337298).

Almost surely, 28434209696 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 8434209696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12304190304).

8434209696 is an abundant number, since it is smaller than the sum of its proper divisors (16174170912).

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

8434209696 is a wasteful number, since it uses less digits than its factorization.

8434209696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150774 (or 150766 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The square root of 8434209696 is about 91837.9534615183. The cubic root of 8434209696 is about 2035.5485481397.

It can be divided in two parts, 8434 and 209696, that added together give a triangular number (218130 = T660).

The spelling of 8434209696 in words is "eight billion, four hundred thirty-four million, two hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 66 88 96 106 132 159 176 212 264 318 352 424 528 583 636 848 1056 1166 1272 1696 1749 2332 2544 3498 4664 5088 6996 9328 13992 18656 27984 55968 150697 301394 452091 602788 904182 1205576 1657667 1808364 2411152 3315334 3616728 4822304 4973001 6630668 7233456 7986941 9946002 13261336 14466912 15973882 19892004 23960823 26522672 31947764 39784008 47921646 53045344 63895528 79568016 87856351 95843292 127791056 159136032 175712702 191686584 255582112 263569053 351425404 383373168 527138106 702850808 766746336 1054276212 1405701616 2108552424 2811403232 4217104848 8434209696