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431625060526134 = 23372971153469841
BaseRepresentation
bin110001000100011111000101…
…0011010001010100000110110
32002121020221201121000222122210
41202020332022122022200312
5423033221110443314014
64125553452045034250
7156625611241025166
oct14210761232124066
92077227647028583
10431625060526134
11115590184252362
12404ab9b3555986
13156ac0b781bb07
147882a9b7025a6
1534d7859667859
hex1888f8a68a836

431625060526134 has 96 divisors (see below), whose sum is σ = 897137611798176. Its totient is φ = 138422892625920.

The previous prime is 431625060526133. The next prime is 431625060526157.

431625060526134 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×4316250605261343 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431625060526133) 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, 918427054 + ... + 918896894.

It is an arithmetic number, because the mean of its divisors is an integer number (9345183456231).

Almost surely, 2431625060526134 is an apocalyptic number.

431625060526134 is an abundant number, since it is smaller than the sum of its proper divisors (465512551272042).

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

431625060526134 is a wasteful number, since it uses less digits than its factorization.

431625060526134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471170 (or 471133 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 431625060526134 in words is "four hundred thirty-one trillion, six hundred twenty-five billion, sixty million, five hundred twenty-six thousand, one hundred thirty-four".

Divisors: 1 2 3 6 37 74 97 111 194 222 291 582 1153 1369 2306 2738 3459 3589 4107 6918 7178 8214 10767 21534 42661 85322 111841 127983 132793 223682 255966 265586 335523 398379 469841 671046 796758 939682 1409523 1578457 2819046 3156914 4138117 4735371 8276234 9470742 12414351 17384117 24828702 34768234 45574577 52152351 91149154 104304702 136723731 153110329 273447462 306220658 459330987 541726673 643212329 918661974 1083453346 1286424658 1625180019 1686259349 1929636987 3250360038 3372518698 3859273974 5058778047 10117556094 20043886901 40087773802 52547487281 60131660703 62391595913 105094974562 120263321406 124783191826 157642461843 187174787739 315284923686 374349575478 741623815337 1483247630674 1944257029397 2224871446011 3888514058794 4449742892022 5832771088191 11665542176382 71937510087689 143875020175378 215812530263067 431625060526134