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9164551968 = 25321113222527
BaseRepresentation
bin10001000100011111…
…11111011100100000
3212122200201110212200
420202033333130200
5122232111130333
64113220053200
7443051256255
oct104217773440
925580643780
109164551968
1139831725a0
121939234200
13b308a5920
1462d20b42c
15389882c13
hex2223ff720

9164551968 has 144 divisors (see below), whose sum is σ = 30618072576. Its totient is φ = 2563499520.

The previous prime is 9164551961. The next prime is 9164551969. The reversal of 9164551968 is 8691554619.

9164551968 is a `hidden beast` number, since 9 + 1 + 64 + 5 + 519 + 68 = 666.

9164551968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (9164551961) 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 23 ways as a sum of consecutive naturals, for example, 70080 + ... + 152447.

It is an arithmetic number, because the mean of its divisors is an integer number (212625504).

Almost surely, 29164551968 is an apocalyptic number.

It is an amenable number.

9164551968 is an abundant number, since it is smaller than the sum of its proper divisors (21453520608).

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

9164551968 is a wasteful number, since it uses less digits than its factorization.

9164551968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222567 (or 222556 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 54.

The square root of 9164551968 is about 95731.6664850247. Note that the first 3 decimals coincide. The cubic root of 9164551968 is about 2092.6844444585.

The spelling of 9164551968 in words is "nine billion, one hundred sixty-four million, five hundred fifty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 528 572 624 792 858 936 1056 1144 1248 1287 1584 1716 1872 2288 2574 3168 3432 3744 4576 5148 6864 10296 13728 20592 41184 222527 445054 667581 890108 1335162 1780216 2002743 2447797 2670324 2892851 3560432 4005486 4895594 5340648 5785702 7120864 7343391 8010972 8678553 9791188 10681296 11571404 14686782 16021944 17357106 19582376 21362592 22030173 23142808 26035659 29373564 31821361 32043888 34714212 39164752 44060346 46285616 52071318 58747128 63642722 64087776 69428424 78329504 88120692 92571232 95464083 104142636 117494256 127285444 138856848 176241384 190928166 208285272 234988512 254570888 277713696 286392249 352482768 381856332 416570544 509141776 572784498 704965536 763712664 833141088 1018283552 1145568996 1527425328 2291137992 3054850656 4582275984 9164551968