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214252542954 = 232174317599257
BaseRepresentation
bin1100011110001001110…
…0100101101111101010
3202111000121221212212200
43013202130211233222
512002242122333304
6242232023321030
721323243365242
oct3074234455752
9674017855780
10214252542954
1182955a7a71a
12356348b0176
1317286051048
14a526d36b22
15588e83ee39
hex31e2725bea

214252542954 has 96 divisors (see below), whose sum is σ = 503291543040. Its totient is φ = 65608897536.

The previous prime is 214252542949. The next prime is 214252542961. The reversal of 214252542954 is 459245252412.

214252542954 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 52 + 542 + 9 + 54 = 666.

It is a super-2 number, since 2×2142525429542 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23140294 + ... + 23149550.

It is an arithmetic number, because the mean of its divisors is an integer number (5242620240).

Almost surely, 2214252542954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214252542954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251645771520).

214252542954 is an abundant number, since it is smaller than the sum of its proper divisors (289039000086).

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

214252542954 is a wasteful number, since it uses less digits than its factorization.

214252542954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11084 (or 11081 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The spelling of 214252542954 in words is "two hundred fourteen billion, two hundred fifty-two million, five hundred forty-two thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 9 17 18 34 43 51 86 102 129 153 258 306 387 731 774 1462 1759 2193 3518 4386 5277 6579 9257 10554 13158 15831 18514 27771 29903 31662 55542 59806 75637 83313 89709 151274 157369 166626 179418 226911 269127 314738 398051 453822 472107 538254 680733 796102 944214 1194153 1285829 1361466 1416321 2388306 2571658 2832642 3582459 3857487 6766867 7164918 7714974 11572461 13533734 16283063 20300601 23144922 32566126 40601202 48849189 60901803 97698378 121803606 146547567 276812071 293095134 553624142 700171709 830436213 1400343418 1660872426 2100515127 2491308639 4201030254 4982617278 6301545381 11902919053 12603090762 23805838106 35708757159 71417514318 107126271477 214252542954