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88668276768 = 25321032989087
BaseRepresentation
bin101001010010100001…
…0101000100000100000
322110212110000011021200
41102211002220200200
52423043034324033
6104422244521200
76256165626351
oct1224502504040
9273773004250
1088668276768
1134670a26785
12152269b0200
138490c5ab76
1444120bdd28
15248e4c2013
hex14a50a8820

88668276768 has 72 divisors (see below), whose sum is σ = 254598559488. Its totient is φ = 29269130112.

The previous prime is 88668276757. The next prime is 88668276769. The reversal of 88668276768 is 86767286688.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 88668276696 and 88668276705.

It is not an unprimeable number, because it can be changed into a prime (88668276769) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1464880 + ... + 1524207.

It is an arithmetic number, because the mean of its divisors is an integer number (3536091104).

Almost surely, 288668276768 is an apocalyptic number.

It is an amenable number.

88668276768 is an abundant number, since it is smaller than the sum of its proper divisors (165930282720).

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

88668276768 is a wasteful number, since it uses less digits than its factorization.

88668276768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2989206 (or 2989195 counting only the distinct ones).

The product of its digits is 520224768, while the sum is 72.

The spelling of 88668276768 in words is "eighty-eight billion, six hundred sixty-eight million, two hundred seventy-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 103 144 206 288 309 412 618 824 927 1236 1648 1854 2472 3296 3708 4944 7416 9888 14832 29664 2989087 5978174 8967261 11956348 17934522 23912696 26901783 35869044 47825392 53803566 71738088 95650784 107607132 143476176 215214264 286952352 307875961 430428528 615751922 860857056 923627883 1231503844 1847255766 2463007688 2770883649 3694511532 4926015376 5541767298 7389023064 9852030752 11083534596 14778046128 22167069192 29556092256 44334138384 88668276768