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889470254942136 = 233276084292900621
BaseRepresentation
bin1100101000111101111110111…
…0100101011000011110111000
311022122100112012101211021222200
43022033133232211120132320
51413041040040231122021
612431424554420350200
7355232051046602040
oct31217375645303670
94278315171737880
10889470254942136
1123845a2425227aa
1283915364845360
132c2408ba3263ba
141199083910c720
156cc726893a126
hex328f7ee9587b8

889470254942136 has 96 divisors (see below), whose sum is σ = 2753127691797600. Its totient is φ = 254133853251840.

The previous prime is 889470254942117. The next prime is 889470254942197. The reversal of 889470254942136 is 631249452074988.

889470254942136 is a `hidden beast` number, since 8 + 8 + 9 + 4 + 7 + 0 + 2 + 549 + 42 + 1 + 36 = 666.

It is a super-2 number, since 2×8894702549421362 (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305197906 + ... + 308098526.

It is an arithmetic number, because the mean of its divisors is an integer number (28678413456225).

It is a 1-persistent number, because it is pandigital, but 2⋅889470254942136 = 1778940509884272 is not.

Almost surely, 2889470254942136 is an apocalyptic number.

It is an amenable number.

889470254942136 is an abundant number, since it is smaller than the sum of its proper divisors (1863657436855464).

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

889470254942136 is a wasteful number, since it uses less digits than its factorization.

889470254942136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509069 (or 3509062 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 889470254942136 in words is "eight hundred eighty-nine trillion, four hundred seventy billion, two hundred fifty-four million, nine hundred forty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 608429 1216858 1825287 2433716 2900621 3650574 4259003 4867432 5475861 5801242 7301148 8518006 8701863 10951722 11602484 12777009 14602296 17036012 17403726 20304347 21903444 23204968 25554018 26105589 34072024 34807452 38331027 40608694 43806888 51108036 52211178 60913041 69614904 76662054 81217388 102216072 104422356 121826082 153324108 162434776 182739123 208844712 243652164 306648216 365478246 487304328 730956492 1461912984 1764821934409 3529643868818 5294465803227 7059287737636 10588931606454 12353753540863 14118575475272 15883397409681 21177863212908 24707507081726 31766794819362 37061260622589 42355726425816 49415014163452 63533589638724 74122521245178 98830028326904 111183781867767 127067179277448 148245042490356 222367563735534 296490084980712 444735127471068 889470254942136