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8424906084 = 22327316831579
BaseRepresentation
bin1111101100010100…
…11101110101100100
3210202010221120110200
413312022131311210
5114223233443314
63511554550500
7415530343260
oct76612356544
923663846420
108424906084
113633704701
121771598430
13a43594c3a
1459ccb30a0
1534497d709
hex1f629dd64

8424906084 has 144 divisors (see below), whose sum is σ = 25176453120. Its totient is φ = 2324583360.

The previous prime is 8424906073. The next prime is 8424906097. The reversal of 8424906084 is 4806094248.

8424906084 is a `hidden beast` number, since 8 + 424 + 90 + 60 + 84 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5334807 + ... + 5336385.

It is an arithmetic number, because the mean of its divisors is an integer number (174836480).

Almost surely, 28424906084 is an apocalyptic number.

8424906084 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8424906084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12588226560).

8424906084 is an abundant number, since it is smaller than the sum of its proper divisors (16751547036).

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

8424906084 is a wasteful number, since it uses less digits than its factorization.

8424906084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 8424906084 is about 91787.2871589525. The cubic root of 8424906084 is about 2034.7998148177.

The spelling of 8424906084 in words is "eight billion, four hundred twenty-four million, nine hundred six thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 683 868 1116 1302 1366 1579 1953 2049 2604 2732 3158 3906 4098 4737 4781 6147 6316 7812 8196 9474 9562 11053 12294 14211 14343 18948 19124 21173 22106 24588 28422 28686 33159 42346 43029 44212 48949 56844 57372 63519 66318 84692 86058 97898 99477 127038 132636 146847 148211 172116 190557 195796 198954 254076 293694 296422 342643 381114 397908 440541 444633 587388 592844 685286 762228 881082 889266 1027929 1078457 1333899 1370572 1762164 1778532 2055858 2156914 2667798 3083787 3235371 4111716 4313828 5335596 6167574 6470742 7549199 9706113 12335148 12941484 15098398 19412226 22647597 30196796 33432167 38824452 45295194 66864334 67942791 90590388 100296501 133728668 135885582 200593002 234025169 271771164 300889503 401186004 468050338 601779006 702075507 936100676 1203558012 1404151014 2106226521 2808302028 4212453042 8424906084