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12100546645056 = 26321449412
BaseRepresentation
bin1011000000010110000011…
…0010001100110001000000
31120211210121220022220002100
42300011200302030301000
53041223404420120211
641422525301350400
72356143553260252
oct260054062146100
946753556286070
1012100546645056
1139458a4136481
121435200708400
1369a0cc53672c
142db953497cd2
1515eb6a139156
hexb0160c8cc40

12100546645056 has 63 divisors (see below), whose sum is σ = 34684271436373. Its totient is φ = 4033487719680.

The previous prime is 12100546645049. The next prime is 12100546645097. The reversal of 12100546645056 is 65054664500121.

The square root of 12100546645056 is 3478584.

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

12100546645056 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 0 + 546 + 6 + 4 + 50 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1286445934656 + 10814100710400 = 1134216^2 + 3288480^2 .

It is a Duffinian number.

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, 83413546 + ... + 83558486.

Almost surely, 212100546645056 is an apocalyptic number.

12100546645056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12100546645056 is the 3478584-th square number.

It is an amenable number.

12100546645056 is an abundant number, since it is smaller than the sum of its proper divisors (22583724791317).

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

12100546645056 is an frugal number, since it uses more digits than its factorization.

12100546645056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289900 (or 144946 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 12100546645056 in words is "twelve trillion, one hundred billion, five hundred forty-six million, six hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 144941 289882 434823 579764 869646 1159528 1304469 1739292 2319056 2608938 3478584 4638112 5217876 6957168 9276224 10435752 13914336 20871504 27828672 41743008 83486016 21007893481 42015786962 63023680443 84031573924 126047360886 168063147848 189071041329 252094721772 336126295696 378142082658 504189443544 672252591392 756284165316 1008378887088 1344505182784 1512568330632 2016757774176 3025136661264 4033515548352 6050273322528 12100546645056