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121045543056 = 24327923672
BaseRepresentation
bin111000010111011100…
…0000110100010010000
3102120102212112200221100
41300232320012202100
53440400124334211
6131335122024400
711513423065614
oct1605670064220
9376385480840
10121045543056
1147376065099
121b561aa8100
13b5509ac0b9
145c0414b344
153236b81156
hex1c2ee06890

121045543056 has 135 divisors (see below), whose sum is σ = 344039204691. Its totient is φ = 39729223872.

The previous prime is 121045543051. The next prime is 121045543081. The reversal of 121045543056 is 650345540121.

The square root of 121045543056 is 347916.

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

121045543056 is a `hidden beast` number, since 1 + 2 + 104 + 5 + 543 + 0 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 121045543056.

It is not an unprimeable number, because it can be changed into a prime (121045543051) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 329824185 + ... + 329824551.

Almost surely, 2121045543056 is an apocalyptic number.

121045543056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

121045543056 is the 347916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121045543056

121045543056 is an abundant number, since it is smaller than the sum of its proper divisors (222993661635).

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

121045543056 is an frugal number, since it uses more digits than its factorization.

121045543056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Multiplying 121045543056 by its sum of digits (36), we get a square (4357639550016 = 20874962).

121045543056 divided by its sum of digits (36) gives a square (3362376196 = 579862).

The spelling of 121045543056 in words is "one hundred twenty-one billion, forty-five million, five hundred forty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 367 474 632 711 734 948 1101 1264 1422 1468 1896 2202 2844 2936 3303 3792 4404 5688 5872 6241 6606 8808 11376 12482 13212 17616 18723 24964 26424 28993 37446 49928 52848 56169 57986 74892 86979 99856 112338 115972 134689 149784 173958 224676 231944 260937 269378 299568 347916 404067 449352 463888 521874 538756 695832 808134 898704 1043748 1077512 1212201 1391664 1616268 2087496 2155024 2290447 2424402 3232536 4174992 4580894 4848804 6465072 6871341 9161788 9697608 10640431 13742682 18323576 19395216 20614023 21280862 27485364 31921293 36647152 41228046 42561724 54970728 63842586 82456092 85123448 95763879 109941456 127685172 164912184 170246896 191527758 255370344 329824368 383055516 510740688 766111032 840594049 1532222064 1681188098 2521782147 3362376196 5043564294 6724752392 7565346441 10087128588 13449504784 15130692882 20174257176 30261385764 40348514352 60522771528 121045543056