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5205632112 = 2432101359997
BaseRepresentation
bin1001101100100011…
…11010010001110000
3111102210022111210100
410312101322101300
541130120211422
62220314432400
7243000100002
oct46621722160
914383274710
105205632112
1122314974aa
121013432700
1364c6385b5
1437550c372
152070247ac
hex13647a470

5205632112 has 120 divisors (see below), whose sum is σ = 14768563680. Its totient is φ = 1711526400.

The previous prime is 5205632077. The next prime is 5205632119. The reversal of 5205632112 is 2112365025.

It is a happy number.

5205632112 is a `hidden beast` number, since 5 + 20 + 5 + 632 + 1 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5205632119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5220798 + ... + 5221794.

It is an arithmetic number, because the mean of its divisors is an integer number (123071364).

Almost surely, 25205632112 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 5205632112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7384281840).

5205632112 is an abundant number, since it is smaller than the sum of its proper divisors (9562931568).

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

5205632112 is a wasteful number, since it uses less digits than its factorization.

5205632112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5205632112 is about 72150.0666111959. The cubic root of 5205632112 is about 1733.1034664931.

Adding to 5205632112 its reverse (2112365025), we get a palindrome (7317997137).

The spelling of 5205632112 in words is "five billion, two hundred five million, six hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 359 404 606 718 808 909 997 1077 1212 1436 1616 1818 1994 2154 2424 2872 2991 3231 3636 3988 4308 4848 5744 5982 6462 7272 7976 8616 8973 11964 12924 14544 15952 17232 17946 23928 25848 35892 36259 47856 51696 71784 72518 100697 108777 143568 145036 201394 217554 290072 302091 326331 357923 402788 435108 580144 604182 652662 715846 805576 870216 906273 1073769 1208364 1305324 1431692 1611152 1740432 1812546 2147538 2416728 2610648 2863384 3221307 3625092 4295076 4833456 5221296 5726768 6442614 7250184 8590152 12885228 14500368 17180304 25770456 36150223 51540912 72300446 108450669 144600892 216901338 289201784 325352007 433802676 578403568 650704014 867605352 1301408028 1735210704 2602816056 5205632112