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9461928612168 = 2332157223092
BaseRepresentation
bin1000100110110000011011…
…1001001101000101001000
31020111112220001222122121200
42021230012321031011020
52220011012211042133
632042425555504200
71664413261122054
oct211540671150510
936445801878550
109461928612168
11301886603643a
1210899508b8060
13538343699136
14249d61932c64
151161d6cd8913
hex89b06e4d148

9461928612168 has 108 divisors (see below), whose sum is σ = 25801493900715. Its totient is φ = 3132529934976.

The previous prime is 9461928612139. The next prime is 9461928612181. The reversal of 9461928612168 is 8612168291649.

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.

9461928612168 is a `hidden beast` number, since 9 + 4 + 6 + 1 + 9 + 2 + 8 + 612 + 1 + 6 + 8 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 6154557182244 + 3307371429924 = 2480838^2 + 1818618^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2175078.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4097845798 + ... + 4097848106.

Almost surely, 29461928612168 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 9461928612168

9461928612168 is an abundant number, since it is smaller than the sum of its proper divisors (16339565288547).

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

9461928612168 is an equidigital number, since it uses as much as digits as its factorization.

9461928612168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4944 (or 2471 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The spelling of 9461928612168 in words is "nine trillion, four hundred sixty-one billion, nine hundred twenty-eight million, six hundred twelve thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 314 471 628 942 1256 1413 1884 2309 2826 3768 4618 5652 6927 9236 11304 13854 18472 20781 24649 27708 41562 49298 55416 73947 83124 98596 147894 166248 197192 221841 295788 362513 443682 591576 725026 887364 1087539 1450052 1774728 2175078 2900104 3262617 4350156 5331481 6525234 8700312 10662962 13050468 15994443 21325924 26100936 31988886 42651848 47983329 56914541 63977772 95966658 113829082 127955544 170743623 191933316 227658164 341487246 383866632 455316328 512230869 682974492 837042517 1024461738 1365948984 1674085034 2048923476 2511127551 3348170068 4097846952 5022255102 6696340136 7533382653 10044510204 15066765306 20089020408 30133530612 60267061224 131415675169 262831350338 394247025507 525662700676 788494051014 1051325401352 1182741076521 1576988102028 2365482153042 3153976204056 4730964306084 9461928612168