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7668992331 = 3371113377669
BaseRepresentation
bin1110010010001101…
…11000100101001011
3201210110120011202000
413021012320211023
5111201230223311
63304553042043
7361021234140
oct71106704513
921713504660
107668992331
113285a454a0
1215a03b6323
13952aa97b0
1452a7423c7
152ed414056
hex1c91b894b

7668992331 has 128 divisors (see below), whose sum is σ = 15668889600. Its totient is φ = 3577582080.

The previous prime is 7668992311. The next prime is 7668992333. The reversal of 7668992331 is 1332998667.

It is not a de Polignac number, because 7668992331 - 26 = 7668992267 is a prime.

It is a super-2 number, since 2×76689923312 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (7668992333) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 996165 + ... + 1003833.

It is an arithmetic number, because the mean of its divisors is an integer number (122413200).

Almost surely, 27668992331 is an apocalyptic number.

7668992331 is an abundant number, since it is smaller than the sum of its proper divisors (7999897269).

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

7668992331 is a wasteful number, since it uses less digits than its factorization.

7668992331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7746 (or 7740 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 7668992331 is about 87572.7830493013. The cubic root of 7668992331 is about 1972.0265960444.

It can be divided in two parts, 7668 and 992331, that added together give a palindrome (999999).

The spelling of 7668992331 in words is "seven billion, six hundred sixty-eight million, nine hundred ninety-two thousand, three hundred thirty-one".

Divisors: 1 3 7 9 11 13 21 27 33 37 39 63 77 91 99 111 117 143 189 231 259 273 297 333 351 407 429 481 693 777 819 999 1001 1221 1287 1443 2079 2331 2457 2849 3003 3367 3663 3861 4329 5291 6993 7669 8547 9009 10101 10989 12987 15873 23007 25641 27027 30303 37037 47619 53683 69021 76923 84359 90909 99697 111111 142857 161049 207063 253077 283753 299091 333333 483147 590513 697879 759231 851259 897273 999999 1096667 1449441 1771539 1986271 2093637 2277693 2553777 2691819 3121283 3290001 3688789 5314617 5958813 6280911 7661331 7676669 9363849 9870003 11066367 15943851 17876439 18842733 21848981 23030007 25821523 28091547 29610009 33199101 40576679 53629317 65546943 69090021 77464569 84274641 99597303 121730037 196640829 207270063 232393707 284036753 365190111 589922487 697181121 852110259 1095570333 2556330777 7668992331