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54455631021 = 3511172157449
BaseRepresentation
bin110010101101110011…
…101111110010101101
312012120002212200100000
4302231303233302231
51343011120143041
641003325054513
73635314140441
oct625563576255
9165502780300
1054455631021
1121104869640
12a6790b7439
13519abb019c
1428c83aa821
15163ab1bbb6
hexcadcefcad

54455631021 has 144 divisors (see below), whose sum is σ = 95343393600. Its totient is φ = 30795448320.

The previous prime is 54455631019. The next prime is 54455631037. The reversal of 54455631021 is 12013655445.

54455631021 is a `hidden beast` number, since 54 + 4 + 556 + 31 + 0 + 21 = 666.

It is not a de Polignac number, because 54455631021 - 21 = 54455631019 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54455631001) 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 143 ways as a sum of consecutive naturals, for example, 121281805 + ... + 121282253.

It is an arithmetic number, because the mean of its divisors is an integer number (662106900).

Almost surely, 254455631021 is an apocalyptic number.

54455631021 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

54455631021 is a deficient number, since it is larger than the sum of its proper divisors (40887762579).

54455631021 is a wasteful number, since it uses less digits than its factorization.

54455631021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 54455631021 in words is "fifty-four billion, four hundred fifty-five million, six hundred thirty-one thousand, twenty-one".

Divisors: 1 3 9 11 17 27 33 51 81 99 153 157 187 243 289 297 449 459 471 561 867 891 1347 1377 1413 1683 1727 2601 2669 2673 3179 4041 4131 4239 4939 5049 5181 7633 7803 8007 9537 12123 12717 14817 15147 15543 22899 23409 24021 28611 29359 36369 38151 44451 45373 45441 46629 68697 70227 70493 72063 83963 85833 88077 109107 129761 133353 136119 139887 206091 211479 216189 251889 257499 264231 389283 400059 408357 419661 499103 618273 634437 648567 755667 772497 775423 792693 1167849 1198381 1200177 1225071 1427371 1497309 1854819 1903311 2267001 2326269 2378079 3503547 3595143 3675213 4282113 4491927 5709933 6801003 6978807 7134237 10510641 10785429 11025639 12846339 13182191 13475781 17129799 20372477 20403009 20936421 31531923 32356287 38539017 39546573 40427343 61117431 62809263 97068861 115617051 118639719 121282029 183352293 188427789 224097247 291206583 346851153 355919157 550056879 672291741 1067757471 1650170637 2016875223 3203272413 4950511911 6050625669 18151877007 54455631021