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12293466489616 = 24132674272
BaseRepresentation
bin1011001011100100101110…
…1101000000001100010000
31121112020120211001102012111
42302321023231000030100
53102404004410131431
642051312431235104
72406113363013544
oct262711355001420
947466524042174
1012293466489616
113a0a6a2386044
121466681078a94
136b2365a66900
14307015115a24
15164babc0e7b1
hexb2e4bb40310

12293466489616 has 45 divisors (see below), whose sum is σ = 25792111585461. Its totient is φ = 5673823461696.

The previous prime is 12293466489593. The next prime is 12293466489631. The reversal of 12293466489616 is 61698466439221.

The square root of 12293466489616 is 3506204.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1818560131600 + 10474906358016 = 1348540^2 + 3236496^2 .

It is a super-2 number, since 2×122934664896162 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 182288895 + ... + 182356321.

Almost surely, 212293466489616 is an apocalyptic number.

12293466489616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12293466489616 is the 3506204-th square number.

It is an amenable number.

12293466489616 is an abundant number, since it is smaller than the sum of its proper divisors (13498645095845).

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

12293466489616 is an frugal number, since it uses more digits than its factorization.

12293466489616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134888 (or 67442 counting only the distinct ones).

The product of its digits is 161243136, while the sum is 67.

The spelling of 12293466489616 in words is "twelve trillion, two hundred ninety-three billion, four hundred sixty-six million, four hundred eighty-nine thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 67427 134854 269708 539416 876551 1078832 1753102 3506204 7012408 11395163 14024816 22790326 45580652 91161304 182322608 4546400329 9092800658 18185601316 36371202632 59103204277 72742405264 118206408554 236412817108 472825634216 768341655601 945651268432 1536683311202 3073366622404 6146733244808 12293466489616