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9917490168 = 2332531072227
BaseRepresentation
bin10010011110010000…
…01110001111111000
3221121011111200220200
421033020032033320
5130302334141133
64320034122200
7500523163335
oct111710161770
927534450820
109917490168
11422a18a173
121b09420360
13c2088b8a1
146a120598c
153d0a10913
hex24f20e3f8

9917490168 has 144 divisors (see below), whose sum is σ = 27746507880. Its totient is φ = 3198988416.

The previous prime is 9917490161. The next prime is 9917490181. The reversal of 9917490168 is 8610947199.

9917490168 is a `hidden beast` number, since 9 + 91 + 7 + 490 + 1 + 68 = 666.

9917490168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×99174901682 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9917490161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43689271 + ... + 43689497.

Almost surely, 29917490168 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 9917490168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13873253940).

9917490168 is an abundant number, since it is smaller than the sum of its proper divisors (17829017712).

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

9917490168 is a wasteful number, since it uses less digits than its factorization.

9917490168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The square root of 9917490168 is about 99586.5963270158. The cubic root of 9917490168 is about 2148.4929166423.

The spelling of 9917490168 in words is "nine billion, nine hundred seventeen million, four hundred ninety thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 107 159 212 214 227 318 321 424 428 454 477 636 642 681 856 908 954 963 1272 1284 1362 1816 1908 1926 2043 2568 2724 3816 3852 4086 5448 5671 7704 8172 11342 11449 12031 16344 17013 22684 22898 24062 24289 34026 34347 36093 45368 45796 48124 48578 51039 68052 68694 72186 72867 91592 96248 97156 102078 103041 108279 136104 137388 144372 145734 194312 204156 206082 216558 218601 274776 288744 291468 408312 412164 433116 437202 582936 606797 824328 866232 874404 1213594 1287317 1748808 1820391 2427188 2574634 2598923 3640782 3861951 4854376 5149268 5197846 5461173 7281564 7723902 7796769 10298536 10395692 10922346 11585853 14563128 15447804 15593538 20791384 21844692 23171706 23390307 30895608 31187076 43689384 46343412 46780614 62374152 92686824 93561228 137742919 187122456 275485838 413228757 550971676 826457514 1101943352 1239686271 1652915028 2479372542 3305830056 4958745084 9917490168