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70043826669961 = 1724321074
BaseRepresentation
bin11111110110100010110010…
…11010000100100110001001
3100012000010100201020021122011
433323101121122010212021
533140044224111414321
6404545404553055521
720516333215132024
oct1773213132044611
9305003321207564
1070043826669961
1120355469130a21
127a32b679b75a1
133011148800a01
1413421d43481bb
15817002415ae1
hex3fb459684989

70043826669961 has 45 divisors (see below), whose sum is σ = 76895692527351. Its totient is φ = 63788714235456.

The previous prime is 70043826669953. The next prime is 70043826669977. The reversal of 70043826669961 is 16996662834007.

The square root of 70043826669961 is 8369219.

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

70043826669961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 54532391006025 + 15511435663936 = 7384605^2 + 3938456^2 .

It is not a de Polignac number, because 70043826669961 - 23 = 70043826669953 is a prime.

It is a super-3 number, since 3×700438266699613 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (70043826669461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 654615202470 + ... + 654615202576.

Almost surely, 270043826669961 is an apocalyptic number.

70043826669961 is the 8369219-th square number.

70043826669961 is the 4184610-th centered octagonal number.

It is an amenable number.

70043826669961 is a deficient number, since it is larger than the sum of its proper divisors (6851865857390).

70043826669961 is an frugal number, since it uses more digits than its factorization.

70043826669961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 67.

The spelling of 70043826669961 in words is "seventy trillion, forty-three billion, eight hundred twenty-six million, six hundred sixty-nine thousand, nine hundred sixty-one".

Divisors: 1 17 43 107 289 731 1819 1849 4601 11449 12427 30923 31433 78217 194633 197843 492307 534361 1225043 1329689 3308761 3363331 8369219 20825731 21169201 52676849 57176627 131079601 142276723 354037427 359876417 895506433 2228353217 2265104507 5636422843 6117899089 15223609361 37882004689 38506776619 95819188331 242366182249 654615202523 1628926201627 4120225098233 70043826669961