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20555511444 = 223213176913739
BaseRepresentation
bin10011001001001101…
…000011011010010100
31222001112211011200200
4103021031003122110
5314044202331234
613235411540500
71325245651536
oct231115033224
958045734620
1020555511444
118799060a96
123b97bba730
131c277c7930
14dcddab856
158048ebd99
hex4c9343694

20555511444 has 144 divisors (see below), whose sum is σ = 59349850560. Its totient is φ = 5942522880.

The previous prime is 20555511443. The next prime is 20555511463. The reversal of 20555511444 is 44411555502.

20555511444 is a `hidden beast` number, since 2 + 0 + 55 + 551 + 14 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20555511399 and 20555511408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20555511443) 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, 5495727 + ... + 5499465.

It is an arithmetic number, because the mean of its divisors is an integer number (412151740).

Almost surely, 220555511444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20555511444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29674925280).

20555511444 is an abundant number, since it is smaller than the sum of its proper divisors (38794339116).

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

20555511444 is a wasteful number, since it uses less digits than its factorization.

20555511444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4470 (or 4465 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 20555511444 in words is "twenty billion, five hundred fifty-five million, five hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 691 884 1326 1382 1989 2073 2652 2764 3739 3978 4146 6219 7478 7956 8292 8983 11217 11747 12438 14956 17966 22434 23494 24876 26949 33651 35241 35932 44868 46988 48607 53898 63563 67302 70482 80847 97214 105723 107796 127126 134604 140964 145821 152711 161694 190689 194428 211446 254252 291642 305422 323388 381378 422892 437463 458133 572067 583284 610844 762756 826319 874926 916266 1144134 1374399 1652638 1749852 1832532 2288268 2478957 2583649 2748798 3305276 4957914 5167298 5497596 7436871 7750947 9915828 10334596 14873742 15501894 23252841 29747484 31003788 33587437 43922033 46505682 67174874 87844066 93011364 100762311 131766099 134349748 175688132 201524622 263532198 302286933 395298297 403049244 527064396 570986429 604573866 790596594 1141972858 1209147732 1581193188 1712959287 2283945716 3425918574 5138877861 6851837148 10277755722 20555511444