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4211420512 = 25133371619
BaseRepresentation
bin1111101100000101…
…0010110101100000
3101212111112022212111
43323001102311200
532111110424022
61533521205104
7206235324625
oct37301226540
911774468774
104211420512
111871267622
12996490794
13521677000
142bd46a34c
15199ad8477
hexfb052d60

4211420512 has 96 divisors (see below), whose sum is σ = 9230306400. Its totient is φ = 1890031104.

The previous prime is 4211420503. The next prime is 4211420539. The reversal of 4211420512 is 2150241124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2600439 + ... + 2602057.

It is an arithmetic number, because the mean of its divisors is an integer number (96149025).

Almost surely, 24211420512 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 4211420512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4615153200).

4211420512 is an abundant number, since it is smaller than the sum of its proper divisors (5018885888).

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

4211420512 is a wasteful number, since it uses less digits than its factorization.

4211420512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 4211420512 is about 64895.4583310728. The cubic root of 4211420512 is about 1614.8897178574.

Adding to 4211420512 its reverse (2150241124), we get a palindrome (6361661636).

It can be divided in two parts, 42114 and 20512, that added together give a palindrome (62626).

The spelling of 4211420512 in words is "four billion, two hundred eleven million, four hundred twenty thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 169 208 296 338 416 481 592 676 962 1184 1352 1619 1924 2197 2704 3238 3848 4394 5408 6253 6476 7696 8788 12506 12952 15392 17576 21047 25012 25904 35152 42094 50024 51808 59903 70304 81289 84188 100048 119806 162578 168376 200096 239612 273611 325156 336752 479224 547222 650312 673504 778739 958448 1094444 1300624 1557478 1916896 2188888 2601248 3114956 3556943 4377776 6229912 7113886 8755552 10123607 12459824 14227772 20247214 24919648 28455544 40494428 56911088 80988856 113822176 131606891 161977712 263213782 323955424 526427564 1052855128 2105710256 4211420512