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5209468173 = 3272132274003
BaseRepresentation
bin1001101101000001…
…00010110100001101
3111110001112101212200
410312200202310031
541132110440143
62220532552113
7243044514600
oct46640426415
914401471780
105209468173
1122336775a8
121014782639
1365037c660
14375c2a337
152075311d3
hex136822d0d

5209468173 has 72 divisors (see below), whose sum is σ = 9470549088. Its totient is φ = 2735062848.

The previous prime is 5209468141. The next prime is 5209468177. The reversal of 5209468173 is 3718649025.

5209468173 is a `hidden beast` number, since 520 + 9 + 46 + 81 + 7 + 3 = 666.

5209468173 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5209468173 - 25 = 5209468141 is a prime.

Together with 4261080915 it forms an amicable pair .

5209468173 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5209468177) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1299390 + ... + 1303392.

It is an arithmetic number, because the mean of its divisors is an integer number (131535404).

It is a 1-persistent number, because it is pandigital, but 2⋅5209468173 = 10418936346 is not.

Almost surely, 25209468173 is an apocalyptic number.

It is an amenable number.

5209468173 is a deficient number, since it is larger than the sum of its proper divisors (4261080915).

5209468173 is a wasteful number, since it uses less digits than its factorization.

5209468173 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4263 (or 4253 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5209468173 is about 72176.6456203113. The cubic root of 5209468173 is about 1733.5290733542.

The spelling of 5209468173 in words is "five billion, two hundred nine million, four hundred sixty-eight thousand, one hundred seventy-three".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 227 273 441 637 681 819 1589 1911 2043 2951 4003 4767 5733 8853 11123 12009 14301 20657 26559 28021 33369 36027 52039 61971 84063 100107 144599 156117 185913 196147 252189 364273 433797 468351 588441 908681 1092819 1301391 1765323 2549911 2726043 3278457 6360767 7649733 8178129 11812853 19082301 22949199 35438559 44525369 57246903 82689971 106315677 133576107 248069913 400728321 578829797 744209739 1736489391 5209468173