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9696340900 = 22524322292
BaseRepresentation
bin10010000011111001…
…00110101110100100
3221000202101011011001
421001330212232210
5124324230402100
64242054123044
7462166352311
oct110174465644
927022334131
109696340900
114126371484
121a67350484
13bb6b0b02c
1467dab9d08
153bb3c9d6a
hex241f26ba4

9696340900 has 81 divisors (see below), whose sum is σ = 21636246051. Its totient is φ = 3771794880.

The previous prime is 9696340861. The next prime is 9696340903. The reversal of 9696340900 is 90436969.

The square root of 9696340900 is 98470.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1323358884 + 8372982016 = 36378^2 + 91504^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9696340903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42341986 + ... + 42342214.

Almost surely, 29696340900 is an apocalyptic number.

9696340900 is the 98470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9696340900

9696340900 is an abundant number, since it is smaller than the sum of its proper divisors (11939905151).

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

9696340900 is a wasteful number, since it uses less digits than its factorization.

9696340900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 46.

The cubic root of 9696340900 is about 2132.4030348608.

The spelling of 9696340900 in words is "nine billion, six hundred ninety-six million, three hundred forty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 229 430 458 860 916 1075 1145 1849 2150 2290 3698 4300 4580 5725 7396 9245 9847 11450 18490 19694 22900 36980 39388 46225 49235 52441 92450 98470 104882 184900 196940 209764 246175 262205 423421 492350 524410 846842 984700 1048820 1311025 1693684 2117105 2254963 2622050 4234210 4509926 5244100 8468420 9019852 10585525 11274815 21171050 22549630 42342100 45099260 56374075 96963409 112748150 193926818 225496300 387853636 484817045 969634090 1939268180 2424085225 4848170450 9696340900