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8332172004 = 22313232980077
BaseRepresentation
bin1111100001010001…
…01101101011100100
3210111200110012020010
413300220231223210
5114031014001004
63454443210220
7413323202442
oct76050555344
923450405203
108332172004
113596326172
121746516970
13a2a2c66c0
14590853b92
1533b761a89
hex1f0a2dae4

8332172004 has 96 divisors (see below), whose sum is σ = 22601214720. Its totient is φ = 2367687168.

The previous prime is 8332172003. The next prime is 8332172021. The reversal of 8332172004 is 4002712338.

It is not an unprimeable number, because it can be changed into a prime (8332172003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64014 + ... + 144090.

It is an arithmetic number, because the mean of its divisors is an integer number (235429320).

Almost surely, 28332172004 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 8332172004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11300607360).

8332172004 is an abundant number, since it is smaller than the sum of its proper divisors (14269042716).

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

8332172004 is a wasteful number, since it uses less digits than its factorization.

8332172004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80149 (or 80147 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 8332172004 is about 91280.7318331750. The cubic root of 8332172004 is about 2027.3064816214.

The spelling of 8332172004 in words is "eight billion, three hundred thirty-two million, one hundred seventy-two thousand, four".

Divisors: 1 2 3 4 6 12 13 23 26 29 39 46 52 58 69 78 87 92 116 138 156 174 276 299 348 377 598 667 754 897 1131 1196 1334 1508 1794 2001 2262 2668 3588 4002 4524 8004 8671 17342 26013 34684 52026 80077 104052 160154 240231 320308 480462 960924 1041001 1841771 2082002 2322233 3123003 3683542 4164004 4644466 5525313 6246006 6966699 7367084 9288932 11050626 12492012 13933398 22101252 23943023 27866796 30189029 47886046 53411359 60378058 71829069 90567087 95772092 106822718 120756116 143658138 160234077 181134174 213645436 287316276 320468154 362268348 640936308 694347667 1388695334 2083043001 2777390668 4166086002 8332172004