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12449070248976 = 2434980092
BaseRepresentation
bin1011010100101000011001…
…1010001111010000010000
31122002010020002222101210000
42311022012122033100100
53112431143440431401
642251005100010000
72423262365106624
oct265120632172020
948063202871700
1012449070248976
113a6a691677579
121490868530900
136c3c332886ba
14310776c0d184
15168c67757186
hexb528668f410

12449070248976 has 75 divisors (see below), whose sum is σ = 36031588703341. Its totient is φ = 4149647743104.

The previous prime is 12449070248959. The next prime is 12449070249013. The reversal of 12449070248976 is 67984207094421.

The square root of 12449070248976 is 3528324.

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

12449070248976 is a `hidden beast` number, since 1 + 2 + 4 + 490 + 70 + 2 + 4 + 8 + 9 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3234688578576 + 9214381670400 = 1798524^2 + 3035520^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 126970660 + ... + 127068668.

Almost surely, 212449070248976 is an apocalyptic number.

12449070248976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12449070248976 is the 3528324-th square number.

It is an amenable number.

12449070248976 is an abundant number, since it is smaller than the sum of its proper divisors (23582518454365).

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

12449070248976 is an frugal number, since it uses more digits than its factorization.

12449070248976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196038 (or 98014 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 12449070248976 in words is "twelve trillion, four hundred forty-nine billion, seventy million, two hundred forty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 98009 196018 294027 392036 588054 784072 882081 1176108 1568144 1764162 2352216 2646243 3528324 4704432 5292486 7056648 7938729 10584972 14113296 15877458 21169944 31754916 42339888 63509832 127019664 9605764081 19211528162 28817292243 38423056324 57634584486 76846112648 86451876729 115269168972 153692225296 172903753458 230538337944 259355630187 345807506916 461076675888 518711260374 691615013832 778066890561 1037422520748 1383230027664 1556133781122 2074845041496 3112267562244 4149690082992 6224535124488 12449070248976