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9750223368 = 23384312
BaseRepresentation
bin10010001010010100…
…01001101000001000
3221011111202200000000
421011022021220020
5124432024121433
64251301043000
7463422350124
oct110512115010
927144680000
109750223368
114153824146
121a813b6460
13bc5025652
14686d04584
153c0ec0113
hex245289a08

9750223368 has 108 divisors (see below), whose sum is σ = 27484879695. Its totient is φ = 3242533680.

The previous prime is 9750223363. The next prime is 9750223391. The reversal of 9750223368 is 8633220579.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

9750223368 is a `hidden beast` number, since 97 + 502 + 23 + 36 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4875111684 + 4875111684 = 69822^2 + 69822^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=69822.

It is not an unprimeable number, because it can be changed into a prime (9750223361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22622113 + ... + 22622543.

Almost surely, 29750223368 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 9750223368

9750223368 is an abundant number, since it is smaller than the sum of its proper divisors (17734656327).

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

9750223368 is an frugal number, since it uses more digits than its factorization.

9750223368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 9750223368 is about 98743.2193520142. The cubic root of 9750223368 is about 2136.3456548308.

The spelling of 9750223368 in words is "nine billion, seven hundred fifty million, two hundred twenty-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 431 486 648 729 862 972 1293 1458 1724 1944 2187 2586 2916 3448 3879 4374 5172 5832 6561 7758 8748 10344 11637 13122 15516 17496 23274 26244 31032 34911 46548 52488 69822 93096 104733 139644 185761 209466 279288 314199 371522 418932 557283 628398 743044 837864 942597 1114566 1256796 1486088 1671849 1885194 2229132 2513592 2827791 3343698 3770388 4458264 5015547 5655582 6687396 7540776 10031094 11311164 13374792 15046641 20062188 22622328 30093282 40124376 45139923 60186564 90279846 120373128 135419769 180559692 270839538 361119384 406259307 541679076 812518614 1083358152 1218777921 1625037228 2437555842 3250074456 4875111684 9750223368