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5660312616 = 233372534799
BaseRepresentation
bin1010100010110000…
…11000010000101000
3112121110212200012000
411101120120100220
543043020000431
62333400051000
7260160602100
oct52130302050
915543780160
105660312616
11244510a712
12111b763a60
136c28b380a
143b9a68200
15231dd99e6
hex151618428

5660312616 has 96 divisors (see below), whose sum is σ = 18290160000. Its totient is φ = 1617229152.

The previous prime is 5660312587. The next prime is 5660312621. The reversal of 5660312616 is 6162130665.

5660312616 is a `hidden beast` number, since 5 + 6 + 6 + 0 + 31 + 2 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256816 + ... + 277983.

It is an arithmetic number, because the mean of its divisors is an integer number (190522500).

Almost surely, 25660312616 is an apocalyptic number.

5660312616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5660312616 is an abundant number, since it is smaller than the sum of its proper divisors (12629847384).

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

5660312616 is a wasteful number, since it uses less digits than its factorization.

5660312616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534828 (or 534811 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5660312616 is about 75235.0491194098. The cubic root of 5660312616 is about 1782.1604680400.

The spelling of 5660312616 in words is "five billion, six hundred sixty million, three hundred twelve thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1764 2646 3528 5292 10584 534799 1069598 1604397 2139196 3208794 3743593 4278392 4813191 6417588 7487186 9626382 11230779 12835176 14439573 14974372 19252764 22461558 26205151 28879146 29948744 33692337 38505528 44923116 52410302 57758292 67384674 78615453 89846232 101077011 104820604 115516584 134769348 157230906 202154022 209641208 235846359 269538696 314461812 404308044 471692718 628923624 707539077 808616088 943385436 1415078154 1886770872 2830156308 5660312616