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45471724081 = 724127432
BaseRepresentation
bin101010010110010100…
…110111001000110001
311100101000001220211221
4222112110313020301
51221111230132311
632520040505041
73166555164100
oct522624671061
9140330056757
1045471724081
111831466a363
12899047b181
134398875c14
1422b5184037
1512b206d671
hexa96537231

45471724081 has 27 divisors (see below), whose sum is σ = 54290353323. Its totient is φ = 37973957280.

The previous prime is 45471724069. The next prime is 45471724087. The reversal of 45471724081 is 18042717454.

The square root of 45471724081 is 213241.

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., 2191082481 + 43280641600 = 46809^2 + 208040^2 .

It is not a de Polignac number, because 45471724081 - 27 = 45471723953 is a prime.

It is a super-2 number, since 2×454717240812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45471724087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 61199796 + ... + 61200538.

Almost surely, 245471724081 is an apocalyptic number.

45471724081 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

45471724081 is the 213241-st square number.

45471724081 is the 106621-st centered octagonal number.

It is an amenable number.

45471724081 is a deficient number, since it is larger than the sum of its proper divisors (8818629242).

45471724081 is an frugal number, since it uses more digits than its factorization.

45471724081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 43.

The spelling of 45471724081 in words is "forty-five billion, four hundred seventy-one million, seven hundred twenty-four thousand, eighty-one".

Divisors: 1 7 41 49 287 743 1681 2009 5201 11767 30463 36407 82369 213241 552049 1248983 1492687 3864343 8742881 22634009 27050401 61200167 158438063 927994369 1109066441 6495960583 45471724081