Search a number
-
+
2420124705625 = 5411256572
BaseRepresentation
bin100011001101111010101…
…011000110001101011001
322120100202122121012011111
4203031322223012031121
5304122403411040000
65051442343300321
7336563642403154
oct43157253061531
98510678535144
102420124705625
11853407338400
12331052a4a6a1
131472a8361043
14851c571ac9b
1542e46576cba
hex2337aac6359

2420124705625 has 45 divisors (see below), whose sum is σ = 3324695000011. Its totient is φ = 1759779560000.

The previous prime is 2420124705569. The next prime is 2420124705629. The reversal of 2420124705625 is 5265074210242.

The square root of 2420124705625 is 1555675.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 2416771832409 + 3352873216 = 1554597^2 + 57904^2 .

It is a de Polignac number, because none of the positive numbers 2k-2420124705625 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2420124705629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 427807797 + ... + 427813453.

Almost surely, 22420124705625 is an apocalyptic number.

2420124705625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2420124705625 is the 1555675-th square number.

2420124705625 is the 777838-th centered octagonal number.

It is an amenable number.

2420124705625 is a deficient number, since it is larger than the sum of its proper divisors (904570294386).

2420124705625 is an frugal number, since it uses more digits than its factorization.

2420124705625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11356 (or 5673 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 40.

Adding to 2420124705625 its reverse (5265074210242), we get a palindrome (7685198915867).

The spelling of 2420124705625 in words is "two trillion, four hundred twenty billion, one hundred twenty-four million, seven hundred five thousand, six hundred twenty-five".

Divisors: 1 5 11 25 55 121 125 275 605 625 1375 3025 5657 6875 15125 28285 62227 75625 141425 311135 684497 707125 1555675 3422485 3535625 7778375 17112425 32001649 38891875 85562125 160008245 352018139 427810625 800041225 1760090695 3872199529 4000206125 8800453475 19360997645 20001030625 44002267375 96804988225 220011336875 484024941125 2420124705625