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428757113263941 = 327112573596705799
BaseRepresentation
bin110000101111100111100101…
…1011011100101011101000101
32002020002210001102021211201200
41201133033023123211131011
5422144224031443421231
64115520144302013113
7156211451651356560
oct14137171333453505
92066083042254650
10428757113263941
11114684963843040
1240108001877199
13155318122443b7
1477c3d5277b4d7
153487e530b5be6
hex185f3cb6e5745

428757113263941 has 96 divisors (see below), whose sum is σ = 777297710592000. Its totient is φ = 221246271037440.

The previous prime is 428757113263909. The next prime is 428757113263949. The reversal of 428757113263941 is 149362311757824.

It is a happy number.

428757113263941 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 571 + 1 + 3 + 26 + 39 + 4 + 1 = 666.

It is not a de Polignac number, because 428757113263941 - 25 = 428757113263909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428757113263949) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60585360 + ... + 67291158.

It is an arithmetic number, because the mean of its divisors is an integer number (8096851152000).

Almost surely, 2428757113263941 is an apocalyptic number.

It is an amenable number.

428757113263941 is a deficient number, since it is larger than the sum of its proper divisors (348540597328059).

428757113263941 is a wasteful number, since it uses less digits than its factorization.

428757113263941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6706439 (or 6706436 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 428757113263941 in words is "four hundred twenty-eight trillion, seven hundred fifty-seven billion, one hundred thirteen million, two hundred sixty-three thousand, nine hundred forty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 257 359 693 771 1077 1799 2313 2513 2827 3231 3949 5397 7539 8481 11847 16191 19789 22617 25443 27643 35541 59367 82929 92263 178101 248787 276789 645841 830367 1014893 1937523 3044679 5812569 6705799 7104251 9134037 20117397 21312753 46940593 60352191 63938259 73763789 140821779 221291367 422465337 516346523 663874101 1549039569 1723390343 2407381841 4647118707 5170171029 7222145523 12063732401 15510513087 16851672887 18957293773 21666436569 26481200251 36191197203 50555018661 56871881319 79443600753 108573591609 132701056411 151665055983 170615643957 185368401757 238330802259 398103169233 556105205271 618697133137 1194309507699 1668315615813 1856091399411 4330879931959 5568274198233 6805668464507 12992639795877 20417005393521 38977919387631 47639679251549 61251016180563 142919037754647 428757113263941