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70049618289225 = 3252109251192
BaseRepresentation
bin11111110110101101100101…
…00111010110001001001001
3100012000200022100012000200100
433323112302213112021021
533140143104240223400
6404552203403400013
720516626562106261
oct1773266247261111
9305020270160610
1070049618289225
1120357970375223
127a34103523009
13301185c669963
1413425c35d27a1
15817240adb100
hex3fb5b29d6249

70049618289225 has 81 divisors (see below), whose sum is σ = 126653021853813. Its totient is φ = 37009814690880.

The previous prime is 70049618289191. The next prime is 70049618289241. The reversal of 70049618289225 is 52298281694007.

The square root of 70049618289225 is 8369565.

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

70049618289225 is a `hidden beast` number, since 7 + 0 + 0 + 4 + 9 + 618 + 2 + 8 + 9 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 256826981961 + 69792791307264 = 506781^2 + 8354208^2 .

It is a de Polignac number, because none of the positive numbers 2k-70049618289225 is a prime.

It is a super-2 number, since 2×700496182892252 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13684236216 + ... + 13684241334.

Almost surely, 270049618289225 is an apocalyptic number.

70049618289225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

70049618289225 is the 8369565-th square number.

70049618289225 is the 4184783-rd centered octagonal number.

It is an amenable number.

70049618289225 is a deficient number, since it is larger than the sum of its proper divisors (56603403564588).

70049618289225 is an frugal number, since it uses more digits than its factorization.

70049618289225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10472 (or 5236 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 70049618289225 in words is "seventy trillion, forty-nine billion, six hundred eighteen million, two hundred eighty-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 109 225 327 545 981 1635 2725 4905 5119 8175 11881 15357 24525 25595 35643 46071 59405 76785 106929 127975 178215 230355 297025 383925 534645 557971 891075 1151775 1673913 2673225 2789855 5021739 8369565 13949275 25108695 26204161 41847825 60818839 78612483 125543475 131020805 182456517 235837449 304094195 393062415 547369551 655104025 912282585 1179187245 1520470975 1965312075 2736847755 2856253549 4561412925 5895936225 8568760647 13684238775 14281267745 25706281941 42843803235 71406338725 128531409705 214219016175 311331636841 642657048525 933994910523 1556658184205 2801984731569 4669974552615 7783290921025 14009923657845 23349872763075 70049618289225