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472847748076431 = 327133205918008911
BaseRepresentation
bin110101110000011010111001…
…0000011101001001110001111
32022000012210200120022002010100
41223200311302003221032033
5443434114142001421211
64353355131234542143
7201412056665563410
oct15340656203511617
92260183616262110
10472847748076431
11127733670745892
124504908a137953
13173ac474ac3a40
1484a9d4b4dd807
15399ecc5c12156
hex1ae0d720e938f

472847748076431 has 48 divisors (see below), whose sum is σ = 840644486456320. Its totient is φ = 249406403088960.

The previous prime is 472847748076421. The next prime is 472847748076441. The reversal of 472847748076431 is 134670847748274.

472847748076431 is a `hidden beast` number, since 4 + 7 + 2 + 8 + 4 + 77 + 480 + 76 + 4 + 3 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (472847748076421) and next prime (472847748076441).

It is not a de Polignac number, because 472847748076431 - 26 = 472847748076367 is a prime.

It is a super-2 number, since 2×4728477480764312 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 472847748076431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472847748076421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17251866 + ... + 35260776.

Almost surely, 2472847748076431 is an apocalyptic number.

472847748076431 is a deficient number, since it is larger than the sum of its proper divisors (367796738379889).

472847748076431 is a wasteful number, since it uses less digits than its factorization.

472847748076431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18040996 (or 18040993 counting only the distinct ones).

The product of its (nonzero) digits is 1416167424, while the sum is 72.

The spelling of 472847748076431 in words is "four hundred seventy-two trillion, eight hundred forty-seven billion, seven hundred forty-eight million, seventy-six thousand, four hundred thirty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 32059 96177 224413 288531 416767 673239 1250301 2019717 2917369 3750903 8752107 18008911 26256321 54026733 126062377 162080199 234115843 378187131 702347529 1134561393 1638810901 2107042587 4916432703 14749298109 577347677749 1732043033247 4041433744243 5196129099741 7505519810737 12124301232729 22516559432211 36372903698187 52538638675159 67549678296633 157615916025477 472847748076431