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49974521778756 = 22343927372
BaseRepresentation
bin10110101110011100110011…
…00111100101001001000100
320112221111222100101112010000
423113032121213211021010
523022240310033410011
6254141551154401300
713345353144210531
oct1327163147451104
9215844870345100
1049974521778756
1114a180917903a3
125731492290230
1321b67670bb613
14c4aacb937d88
155b9e42ec7356
hex2d73999e5244

49974521778756 has 45 divisors (see below), whose sum is σ = 130643604089229. Its totient is φ = 16658131510656.

The previous prime is 49974521778751. The next prime is 49974521778757. The reversal of 49974521778756 is 65787712547994.

The square root of 49974521778756 is 7069266.

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

49974521778756 is a `hidden beast` number, since 4 + 9 + 9 + 7 + 4 + 521 + 7 + 7 + 87 + 5 + 6 = 666.

49974521778756 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., 9030085100100 + 40944436678656 = 3005010^2 + 6398784^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (49974521778751) 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 14 ways as a sum of consecutive naturals, for example, 127050420 + ... + 127443156.

Almost surely, 249974521778756 is an apocalyptic number.

49974521778756 is the 7069266-th square number.

It is an amenable number.

49974521778756 is an abundant number, since it is smaller than the sum of its proper divisors (80669082310473).

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

49974521778756 is an frugal number, since it uses more digits than its factorization.

49974521778756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785490 (or 392742 counting only the distinct ones).

The product of its digits is 7468070400, while the sum is 81.

49974521778756 divided by its sum of digits (81) gives a square (616969404676 = 7854742).

The spelling of 49974521778756 in words is "forty-nine trillion, nine hundred seventy-four billion, five hundred twenty-one million, seven hundred seventy-eight thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 392737 785474 1178211 1570948 2356422 3534633 4712844 7069266 10603899 14138532 21207798 31811697 42415596 63623394 127246788 154242351169 308484702338 462727053507 616969404676 925454107014 1388181160521 1850908214028 2776362321042 4164543481563 5552724642084 8329086963126 12493630444689 16658173926252 24987260889378 49974521778756