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20205251528 = 23721112133863
BaseRepresentation
bin10010110100010100…
…111010101111001000
31221011010202010102012
4102310110322233020
5312340021022103
613140540355052
71313463542600
oct226424725710
957133663365
1020205251528
118629379590
123aba845a88
131ba0080347
14d99673c00
157d3cb12d8
hex4b453abc8

20205251528 has 96 divisors (see below), whose sum is σ = 48128592960. Its totient is φ = 7863649920.

The previous prime is 20205251503. The next prime is 20205251603. The reversal of 20205251528 is 82515250202.

It is a junction number, because it is equal to n+sod(n) for n = 20205251494 and 20205251503.

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 23 ways as a sum of consecutive naturals, for example, 5228525 + ... + 5232387.

It is an arithmetic number, because the mean of its divisors is an integer number (501339510).

Almost surely, 220205251528 is an apocalyptic number.

20205251528 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 20205251528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24064296480).

20205251528 is an abundant number, since it is smaller than the sum of its proper divisors (27923341432).

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

20205251528 is a wasteful number, since it uses less digits than its factorization.

20205251528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5107 (or 5096 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 32.

The spelling of 20205251528 in words is "twenty billion, two hundred five million, two hundred fifty-one thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 392 539 616 1078 1213 2156 2426 3863 4312 4852 7726 8491 9704 13343 15452 16982 26686 27041 30904 33964 42493 53372 54082 59437 67928 84986 93401 106744 108164 118874 169972 186802 189287 216328 237748 297451 339944 373604 378574 475496 594902 653807 747208 757148 1189804 1307614 1514296 2082157 2379608 2615228 4164314 4685819 5230456 8328628 9371638 16657256 18743276 32800733 37486552 51544009 65601466 103088018 131202932 206176036 229605131 262405864 360808063 412352072 459210262 721616126 918420524 1443232252 1836841048 2525656441 2886464504 5051312882 10102625764 20205251528