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9742749696 = 21232264289
BaseRepresentation
bin10010001001011011…
…01001000000000000
3221010222200222001100
421010231221000000
5124423120442241
64250432534400
7463302002031
oct110455510000
927128628040
109742749696
11414a58a059
121a7a9b1400
13bc3609964
14685d1aa88
153c04e59b6
hex244b69000

9742749696 has 78 divisors (see below), whose sum is σ = 28142392070. Its totient is φ = 3247570944.

The previous prime is 9742749649. The next prime is 9742749697. The reversal of 9742749696 is 6969472479.

It can be written as a sum of positive squares in only one way, i.e., 4965175296 + 4777574400 = 70464^2 + 69120^2 .

It is not an unprimeable number, because it can be changed into a prime (9742749697) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 95281 + ... + 169008.

Almost surely, 29742749696 is an apocalyptic number.

9742749696 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9742749696 is an abundant number, since it is smaller than the sum of its proper divisors (18399642374).

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

9742749696 is a wasteful number, since it uses less digits than its factorization.

9742749696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264319 (or 264294 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The square root of 9742749696 is about 98705.3681214958. The cubic root of 9742749696 is about 2135.7996698036.

The spelling of 9742749696 in words is "nine billion, seven hundred forty-two million, seven hundred forty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 9216 12288 18432 36864 264289 528578 792867 1057156 1585734 2114312 2378601 3171468 4228624 4757202 6342936 8457248 9514404 12685872 16914496 19028808 25371744 33828992 38057616 50743488 67657984 76115232 101486976 135315968 152230464 202973952 270631936 304460928 405947904 541263872 608921856 811895808 1082527744 1217843712 1623791616 2435687424 3247583232 4871374848 9742749696