Search a number
-
+
8934210129168 = 2432173649595641
BaseRepresentation
bin1000001000000010100001…
…1010111100110100010000
31011122002202110120002221200
42002000220122330310100
52132334230243113133
631000153001151200
71611322025044542
oct202005032746420
934562673502850
108934210129168
112934a82781455
121003614a8b500
134ca652a5963c
1422c5bd2c1692
151075ec9eb913
hex820286bcd10

8934210129168 has 60 divisors (see below), whose sum is σ = 26474166787068. Its totient is φ = 2802889451520.

The previous prime is 8934210129167. The next prime is 8934210129191. The reversal of 8934210129168 is 8619210124398.

It is a happy number.

8934210129168 is a `hidden beast` number, since 8 + 9 + 342 + 1 + 0 + 1 + 291 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5505743130624 + 3428466998544 = 2346432^2 + 1851612^2 .

It is a super-2 number, since 2×89342101291682 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8934210129167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1824795373 + ... + 1824800268.

Almost surely, 28934210129168 is an apocalyptic number.

It is an amenable number.

8934210129168 is an abundant number, since it is smaller than the sum of its proper divisors (17539956657900).

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

8934210129168 is a wasteful number, since it uses less digits than its factorization.

8934210129168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649595672 (or 3649595663 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 8934210129168 in words is "eight trillion, nine hundred thirty-four billion, two hundred ten million, one hundred twenty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 3649595641 7299191282 10948786923 14598382564 21897573846 29196765128 32846360769 43795147692 58393530256 62043125897 65692721538 87590295384 124086251794 131385443076 175180590768 186129377691 248172503588 262770886152 372258755382 496345007176 525541772304 558388133073 744517510764 992690014352 1116776266146 1489035021528 2233552532292 2978070043056 4467105064584 8934210129168