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47141090887969 = 132232229632
BaseRepresentation
bin10101011011111111000111…
…11110100000100100100001
320011220122101200021201102001
422231333203332200210201
522134324423231403334
6244132152421124001
712633555115055521
oct1255774376404441
9204818350251361
1047141090887969
1114025473927861
125354313b59601
13203c502795400
14b8d8d8b89681
1556b3abcc3714
hex2adfe3fa0921

47141090887969 has 27 divisors (see below), whose sum is σ = 53364492777267. Its totient is φ = 41621090384016.

The previous prime is 47141090887921. The next prime is 47141090887991. The reversal of 47141090887969 is 96978809014174.

The square root of 47141090887969 is 6865937.

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

It can be written as a sum of positive squares in only one way, i.e., 6973534155025 + 40167556732944 = 2640745^2 + 6337788^2 .

It is not a de Polignac number, because 47141090887969 - 231 = 47138943404321 is a prime.

It is a super-2 number, since 2×471410908879692 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47141090887909) 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, 2052903682 + ... + 2052926644.

Almost surely, 247141090887969 is an apocalyptic number.

47141090887969 is the 6865937-th square number.

47141090887969 is the 3432969-th centered octagonal number.

It is an amenable number.

47141090887969 is a deficient number, since it is larger than the sum of its proper divisors (6223401889298).

47141090887969 is an frugal number, since it uses more digits than its factorization.

47141090887969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45998 (or 22999 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 73.

The spelling of 47141090887969 in words is "forty-seven trillion, one hundred forty-one billion, ninety million, eight hundred eighty-seven thousand, nine hundred sixty-nine".

Divisors: 1 13 23 169 299 529 3887 6877 22963 89401 298519 528149 3880747 6865937 12147427 89257181 157916551 527299369 2052915163 6854891797 12127885487 89113593361 157662511331 278941366201 2049612647303 3626237760613 47141090887969