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4812132132 = 2233176142967
BaseRepresentation
bin1000111101101001…
…10100111100100100
3110102100212122022000
410132310310330210
534323401212012
62113300405300
7230151306513
oct43664647444
913370778260
104812132132
11204a361105
12b236a6830
135b8c61782
1433915a67a
151d26e6ddc
hex11ed34f24

4812132132 has 96 divisors (see below), whose sum is σ = 13426640640. Its totient is φ = 1484904960.

The previous prime is 4812132053. The next prime is 4812132163. The reversal of 4812132132 is 2312312184.

4812132132 is a `hidden beast` number, since 481 + 21 + 32 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4812132096 and 4812132105.

It is an unprimeable number.

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, 90513 + ... + 133479.

It is an arithmetic number, because the mean of its divisors is an integer number (139860840).

Almost surely, 24812132132 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 4812132132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6713320320).

4812132132 is an abundant number, since it is smaller than the sum of its proper divisors (8614508508).

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

4812132132 is a wasteful number, since it uses less digits than its factorization.

4812132132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43058 (or 43050 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 4812132132 is about 69369.5331683874. The cubic root of 4812132132 is about 1688.2853344124.

The spelling of 4812132132 in words is "four billion, eight hundred twelve million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 61 68 102 108 122 153 183 204 244 306 366 459 549 612 732 918 1037 1098 1647 1836 2074 2196 3111 3294 4148 6222 6588 9333 12444 18666 27999 37332 42967 55998 85934 111996 128901 171868 257802 386703 515604 730439 773406 1160109 1460878 1546812 2191317 2320218 2620987 2921756 4382634 4640436 5241974 6573951 7862961 8765268 10483948 13147902 15725922 19721853 23588883 26295804 31451844 39443706 44556779 47177766 70766649 78887412 89113558 94355532 133670337 141533298 178227116 267340674 283066596 401011011 534681348 802022022 1203033033 1604044044 2406066066 4812132132