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27500190948 = 223223371934651
BaseRepresentation
bin11001100111001000…
…111001110011100100
32121222112110110000200
4121213020321303210
5422310022102243
620344452310500
71662323523546
oct314710716344
977875413020
1027500190948
111073216053a
1253b5912430
132793501849
14148c447696
15aae439ad3
hex667239ce4

27500190948 has 144 divisors (see below), whose sum is σ = 74899284096. Its totient is φ = 8485171200.

The previous prime is 27500190941. The next prime is 27500190953. The reversal of 27500190948 is 84909100572.

It is a super-2 number, since 2×275001909482 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27500190941) 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, 5910423 + ... + 5915073.

Almost surely, 227500190948 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 27500190948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37449642048).

27500190948 is an abundant number, since it is smaller than the sum of its proper divisors (47399093148).

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

27500190948 is a wasteful number, since it uses less digits than its factorization.

27500190948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4914 (or 4909 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 27500190948 in words is "twenty-seven billion, five hundred million, one hundred ninety thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 37 46 69 74 92 111 138 148 193 207 222 276 333 386 414 444 579 666 772 828 851 1158 1332 1702 1737 2316 2553 3404 3474 4439 4651 5106 6948 7141 7659 8878 9302 10212 13317 13953 14282 15318 17756 18604 21423 26634 27906 28564 30636 39951 41859 42846 53268 55812 64269 79902 83718 85692 106973 128538 159804 164243 167436 172087 213946 257076 320919 328486 344174 427892 492729 516261 641838 656972 688348 897643 962757 985458 1032522 1283676 1478187 1548783 1795286 1925514 1970916 2065044 2692929 2956374 3097566 3590572 3851028 3958001 5385858 5912748 6195132 7916002 8078787 10771716 11874003 15832004 16157574 20645789 23748006 32315148 33212791 35622009 41291578 47496012 61937367 66425582 71244018 82583156 99638373 123874734 132851164 142488036 185812101 199276746 247749468 298915119 371624202 398553492 597830238 743248404 763894193 1195660476 1527788386 2291682579 3055576772 4583365158 6875047737 9166730316 13750095474 27500190948