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21428857006128 = 243211131040639909
BaseRepresentation
bin1001101111101010010110…
…11010001110100000110000
32210212120121220000002200100
410313311023122032200300
510302042244343144003
6113324140410352400
74341120024130065
oct467651332164060
983776556002610
1021428857006128
116911a22149120
1224a1080a2b700
13bc596a52a860
1454123b180c6c
152726315e4ba3
hex137d4b68e830

21428857006128 has 120 divisors (see below), whose sum is σ = 70455484466640. Its totient is φ = 5994085870080.

The previous prime is 21428857006093. The next prime is 21428857006157. The reversal of 21428857006128 is 82160075882412.

21428857006128 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 8 + 8 + 570 + 0 + 61 + 2 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 520299363 + ... + 520340546.

It is an arithmetic number, because the mean of its divisors is an integer number (587129037222).

Almost surely, 221428857006128 is an apocalyptic number.

It is an amenable number.

21428857006128 is an abundant number, since it is smaller than the sum of its proper divisors (49026627460512).

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

21428857006128 is a wasteful number, since it uses less digits than its factorization.

21428857006128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040639947 (or 1040639938 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 21428857006128 in words is "twenty-one trillion, four hundred twenty-eight billion, eight hundred fifty-seven million, six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2574 3432 5148 6864 10296 20592 1040639909 2081279818 3121919727 4162559636 6243839454 8325119272 9365759181 11447038999 12487678908 13528318817 16650238544 18731518362 22894077998 24975357816 27056637634 34341116997 37463036724 40584956451 45788155996 49950715632 54113275268 68682233994 74926073448 81169912902 91576311992 103023350991 108226550536 121754869353 137364467988 148811506987 149852146896 162339825804 183152623984 206046701982 216453101072 243509738706 274728935976 297623013974 324679651608 412093403964 446434520961 487019477412 549457871952 595246027948 649359303216 824186807928 892869041922 974038954824 1190492055896 1339303562883 1648373615856 1785738083844 1948077909648 2380984111792 2678607125766 3571476167688 5357214251532 7142952335376 10714428503064 21428857006128