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283461472921 = 11229216692
BaseRepresentation
bin1000001111111111001…
…11101101001010011001
31000002122220202210200011
410013333213231022121
514121012114113141
6334115335041521
726323303523254
oct4077747551231
91002586683604
10283461472921
11aa240680100
1246b2a8102a1
1320965621303
14da1086a09b
15759078e881
hex41ff9ed299

283461472921 has 27 divisors (see below), whose sum is σ = 322881200733. Its totient is φ = 248657233440.

The previous prime is 283461472919. The next prime is 283461472961. The reversal of 283461472921 is 129274164382.

The square root of 283461472921 is 532411.

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

It can be written as a sum of positive squares in 4 ways, for example, as 947962521 + 282513510400 = 30789^2 + 531520^2 .

It is not a de Polignac number, because 283461472921 - 21 = 283461472919 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (283461472961) 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 26 ways as a sum of consecutive naturals, for example, 169838275 + ... + 169839943.

Almost surely, 2283461472921 is an apocalyptic number.

283461472921 is the 532411-st square number.

283461472921 is the 266206-th centered octagonal number.

It is an amenable number.

283461472921 is a deficient number, since it is larger than the sum of its proper divisors (39419727812).

283461472921 is an frugal number, since it uses more digits than its factorization.

283461472921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 1709 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 49.

Multiplying 283461472921 by its sum of digits (49), we get a square (13889612173129 = 37268772).

The spelling of 283461472921 in words is "two hundred eighty-three billion, four hundred sixty-one million, four hundred seventy-two thousand, nine hundred twenty-one".

Divisors: 1 11 29 121 319 841 1669 3509 9251 18359 48401 101761 201949 532411 1403629 2785561 5856521 15439919 30641171 80781269 169839109 337052881 888593959 2342656801 9774533549 25769224811 283461472921