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172493456271 = 3312131456727
BaseRepresentation
bin1010000010100101101…
…0010100001110001111
3121111020100212111002120
42200221122110032033
510311231311100041
6211124205224023
715314356120653
oct2405132241617
9544210774076
10172493456271
1167177071834
122951b862013
131335c704bb6
1484c4ca2a63
1547486d2366
hex282969438f

172493456271 has 24 divisors (see below), whose sum is σ = 239464317312. Its totient is φ = 110436346800.

The previous prime is 172493456237. The next prime is 172493456273. The reversal of 172493456271 is 172654394271.

It is a happy number.

It is not a de Polignac number, because 172493456271 - 26 = 172493456207 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172493456273) 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 23 ways as a sum of consecutive naturals, for example, 149310 + ... + 606036.

It is an arithmetic number, because the mean of its divisors is an integer number (9977679888).

Almost surely, 2172493456271 is an apocalyptic number.

172493456271 is a deficient number, since it is larger than the sum of its proper divisors (66970861041).

172493456271 is a wasteful number, since it uses less digits than its factorization.

172493456271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456923 (or 456892 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 51.

The spelling of 172493456271 in words is "one hundred seventy-two billion, four hundred ninety-three million, four hundred fifty-six thousand, two hundred seventy-one".

Divisors: 1 3 31 93 131 393 961 2883 4061 12183 125891 377673 456727 1370181 14158537 42475611 59831237 179493711 438914647 1316743941 1854768347 5564305041 57497818757 172493456271