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470741543406 = 233297919919121
BaseRepresentation
bin1101101100110100110…
…00011110100111101110
31200000001210021010012000
412312122120132213232
530203034313342111
61000131120553130
746003262045541
oct6663230364756
91600053233160
10470741543406
11171705368a62
12772964827a6
13355105ac274
1418ad9488858
15c3a2185c56
hex6d9a61e9ee

470741543406 has 128 divisors (see below), whose sum is σ = 1101427200000. Its totient is φ = 148825797120.

The previous prime is 470741543401. The next prime is 470741543407. The reversal of 470741543406 is 604345147074.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470741543401) 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 63 ways as a sum of consecutive naturals, for example, 24609526 + ... + 24628646.

It is an arithmetic number, because the mean of its divisors is an integer number (8604900000).

Almost surely, 2470741543406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470741543406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550713600000).

470741543406 is an abundant number, since it is smaller than the sum of its proper divisors (630685656594).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

470741543406 is a wasteful number, since it uses less digits than its factorization.

470741543406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19439 (or 19433 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 470741543406 in words is "four hundred seventy billion, seven hundred forty-one million, five hundred forty-three thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 29 54 58 79 87 158 174 199 237 261 398 474 522 597 711 783 1194 1422 1566 1791 2133 2291 3582 4266 4582 5373 5771 6873 10746 11542 13746 15721 17313 19121 20619 31442 34626 38242 41238 47163 51939 57363 61857 94326 103878 114726 123714 141489 155817 172089 282978 311634 344178 424467 455909 516267 554509 848934 911818 1032534 1109018 1367727 1510559 1663527 2735454 3021118 3327054 3805079 4103181 4531677 4990581 7610158 8206362 9063354 9981162 11415237 12309543 13595031 14971743 22830474 24619086 27190062 29943486 34245711 40785093 43806211 68491422 81570186 87612422 102737133 110347291 131418633 205474266 220694582 262837266 300601241 331041873 394255899 601202482 662083746 788511798 901803723 993125619 1182767697 1803607446 1986251238 2365535394 2705411169 2979376857 5410822338 5958753714 8116233507 8717435989 16232467014 17434871978 26152307967 52304615934 78456923901 156913847802 235370771703 470741543406