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20554531424532 = 223271717472746409
BaseRepresentation
bin1001010110001101110011…
…00010110100100100010100
32200202222211122011121101100
410223012321202310210110
510143231140021041112
6111414342115030100
74221005310245250
oct453067142644424
980688748147340
1020554531424532
116605145151936
12237b732b9b330
13b6138cc2b501
14510bb793b260
15259a0d0a82dc
hex12b1b98b4914

20554531424532 has 144 divisors (see below), whose sum is σ = 62908696206720. Its totient is φ = 5524103079936.

The previous prime is 20554531424507. The next prime is 20554531424533. The reversal of 20554531424532 is 23542413545502.

20554531424532 is a `hidden beast` number, since 2 + 0 + 5 + 5 + 4 + 53 + 142 + 453 + 2 = 666.

It is a super-2 number, since 2×205545314245322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20554531424533) 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, 6110944 + ... + 8857352.

It is an arithmetic number, because the mean of its divisors is an integer number (436865945880).

Almost surely, 220554531424532 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 20554531424532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31454348103360).

20554531424532 is an abundant number, since it is smaller than the sum of its proper divisors (42354164782188).

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

20554531424532 is a wasteful number, since it uses less digits than its factorization.

20554531424532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748190 (or 2748185 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

The spelling of 20554531424532 in words is "twenty trillion, five hundred fifty-four billion, five hundred thirty-one million, four hundred twenty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 1747 2142 3494 4284 5241 6988 10482 12229 15723 20964 24458 29699 31446 36687 48916 59398 62892 73374 89097 110061 118796 146748 178194 207893 220122 267291 356388 415786 440244 534582 623679 831572 1069164 1247358 1871037 2494716 2746409 3742074 5492818 7484148 8239227 10985636 16478454 19224863 24717681 32956908 38449726 46688953 49435362 57674589 76899452 93377906 98870724 115349178 140066859 173023767 186755812 230698356 280133718 326822671 346047534 420200577 560267436 653645342 692095068 840401154 980468013 1307290684 1680802308 1960936026 2941404039 3921872052 4797976523 5882808078 9595953046 11765616156 14393929569 19191906092 28787859138 33585835661 43181788707 57575718276 67171671322 81565600891 86363577414 100757506983 134343342644 163131201782 172727154828 201515013966 244696802673 302272520949 326262403564 403030027932 489393605346 570959206237 604545041898 734090408019 978787210692 1141918412474 1209090083796 1468180816038 1712877618711 2283836824948 2936361632076 3425755237422 5138632856133 6851510474844 10277265712266 20554531424532