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5772632112 = 2432139833137
BaseRepresentation
bin1010110000001001…
…10110000000110000
3112220022020002120100
411120010312000300
543310243211422
62352451312400
7263023364142
oct53004660060
915808202510
105772632112
1124a2555a45
1211512ab700
1370cc4b860
143ca944c92
1523bbc47ac
hex158136030

5772632112 has 120 divisors (see below), whose sum is σ = 17421322464. Its totient is φ = 1773821952.

The previous prime is 5772632101. The next prime is 5772632113. The reversal of 5772632112 is 2112362775.

5772632112 is a `hidden beast` number, since 5 + 7 + 7 + 2 + 632 + 1 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5772632113) 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 23 ways as a sum of consecutive naturals, for example, 1838608 + ... + 1841744.

Almost surely, 25772632112 is an apocalyptic number.

5772632112 is a gapful number since it is divisible by the number (52) 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 5772632112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8710661232).

5772632112 is an abundant number, since it is smaller than the sum of its proper divisors (11648690352).

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

5772632112 is a wasteful number, since it uses less digits than its factorization.

5772632112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4147 (or 4138 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 5772632112 is about 75977.8396112972. The cubic root of 5772632112 is about 1793.8713494095.

Adding to 5772632112 its reverse (2112362775), we get a palindrome (7884994887).

The spelling of 5772632112 in words is "five billion, seven hundred seventy-two million, six hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 983 1872 1966 2949 3137 3932 5898 6274 7864 8847 9411 11796 12548 12779 15728 17694 18822 23592 25096 25558 28233 35388 37644 38337 40781 47184 50192 51116 56466 70776 75288 76674 81562 102232 112932 115011 122343 141552 150576 153348 163124 204464 225864 230022 244686 306696 326248 367029 451728 460044 489372 613392 652496 734058 920088 978744 1468116 1840176 1957488 2936232 3083671 5872464 6167342 9251013 12334684 18502026 24669368 27753039 37004052 40087723 49338736 55506078 74008104 80175446 111012156 120263169 148016208 160350892 222024312 240526338 320701784 360789507 444048624 481052676 641403568 721579014 962105352 1443158028 1924210704 2886316056 5772632112