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12434266650 = 23521317375091
BaseRepresentation
bin10111001010010001…
…11101101000011010
31012002120021012012110
423211020331220122
5200431133013100
65413501253150
7620063344161
oct134510755032
935076235173
1012434266650
115300901633
1224b02641b6
131232113140
1485d5823d8
154cb952250
hex2e523da1a

12434266650 has 96 divisors (see below), whose sum is σ = 35162624448. Its totient is φ = 2880691200.

The previous prime is 12434266643. The next prime is 12434266681. The reversal of 12434266650 is 5666243421.

12434266650 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 2×124342666502 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 12434266599 and 12434266608.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 154396 + ... + 220695.

It is an arithmetic number, because the mean of its divisors is an integer number (366277338).

Almost surely, 212434266650 is an apocalyptic number.

12434266650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12434266650 is an abundant number, since it is smaller than the sum of its proper divisors (22728357798).

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

12434266650 is a wasteful number, since it uses less digits than its factorization.

12434266650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375136 (or 375131 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 12434266650 in words is "twelve billion, four hundred thirty-four million, two hundred sixty-six thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 17 25 26 30 34 39 50 51 65 75 78 85 102 130 150 170 195 221 255 325 390 425 442 510 650 663 850 975 1105 1275 1326 1950 2210 2550 3315 5525 6630 11050 16575 33150 375091 750182 1125273 1875455 2250546 3750910 4876183 5626365 6376547 9377275 9752366 11252730 12753094 14628549 18754550 19129641 24380915 28131825 29257098 31882735 38259282 48761830 56263650 63765470 73142745 82895111 95648205 121904575 146285490 159413675 165790222 191296410 243809150 248685333 318827350 365713725 414475555 478241025 497370666 731427450 828951110 956482050 1243426665 2072377775 2486853330 4144755550 6217133325 12434266650