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2311712928 = 253271279029
BaseRepresentation
bin1000100111001001…
…1111000010100000
312222002220011222100
42021302133002200
514213244303203
61021220010400
7111200143560
oct21162370240
95862804870
102311712928
11a869a1158
12546230a00
132aac16595
1417d03ada0
15d7e36ea3
hex89c9f0a0

2311712928 has 144 divisors (see below), whose sum is σ = 7573063680. Its totient is φ = 655216128.

The previous prime is 2311712903. The next prime is 2311712933. The reversal of 2311712928 is 8292171132.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×23117129282 = 10688033322964666368, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2311712892 and 2311712901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251518 + ... + 260546.

It is an arithmetic number, because the mean of its divisors is an integer number (52590720).

Almost surely, 22311712928 is an apocalyptic number.

2311712928 is a gapful number since it is divisible by the number (28) 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 2311712928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3786531840).

2311712928 is an abundant number, since it is smaller than the sum of its proper divisors (5261350752).

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

2311712928 is a wasteful number, since it uses less digits than its factorization.

2311712928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9179 (or 9168 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 2311712928 is about 48080.2758727526. The cubic root of 2311712928 is about 1322.2430732436.

The spelling of 2311712928 in words is "two billion, three hundred eleven million, seven hundred twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 127 144 168 224 252 254 288 336 381 504 508 672 762 889 1008 1016 1143 1524 1778 2016 2032 2286 2667 3048 3556 4064 4572 5334 6096 7112 8001 9029 9144 10668 12192 14224 16002 18058 18288 21336 27087 28448 32004 36116 36576 42672 54174 63203 64008 72232 81261 85344 108348 126406 128016 144464 162522 189609 216696 252812 256032 288928 325044 379218 433392 505624 568827 650088 758436 866784 1011248 1137654 1146683 1300176 1516872 2022496 2275308 2293366 2600352 3033744 3440049 4550616 4586732 6067488 6880098 8026781 9101232 9173464 10320147 13760196 16053562 18202464 18346928 20640294 24080343 27520392 32107124 36693856 41280588 48160686 55040784 64214248 72241029 82561176 96321372 110081568 128428496 144482058 165122352 192642744 256856992 288964116 330244704 385285488 577928232 770570976 1155856464 2311712928