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5122153040 = 245177351593
BaseRepresentation
bin1001100010100110…
…11101101001010000
3111012222020100000212
410301103131221100
540442232344130
62204133303252
7240634403534
oct46123355120
914188210025
105122153040
11219935a434
12bab494b28
1363825a7b4
143683bbbc4
151eea34e95
hex1314dda50

5122153040 has 80 divisors (see below), whose sum is σ = 12782516688. Its totient is φ = 1901887488.

The previous prime is 5122153039. The next prime is 5122153051. The reversal of 5122153040 is 403512215.

It can be written as a sum of positive squares in 8 ways, for example, as 1043031616 + 4079121424 = 32296^2 + 63868^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 5122152997 and 5122153015.

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, 73484 + ... + 125076.

Almost surely, 25122153040 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 5122153040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6391258344).

5122153040 is an abundant number, since it is smaller than the sum of its proper divisors (7660363648).

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

5122153040 is a wasteful number, since it uses less digits than its factorization.

5122153040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51696 (or 51690 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 5122153040 is about 71569.2185230494. The cubic root of 5122153040 is about 1723.7893110889.

Adding to 5122153040 its reverse (403512215), we get a palindrome (5525665255).

The spelling of 5122153040 in words is "five billion, one hundred twenty-two million, one hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 73 80 85 136 146 170 272 292 340 365 584 680 730 1168 1241 1360 1460 2482 2920 4964 5840 6205 9928 12410 19856 24820 49640 51593 99280 103186 206372 257965 412744 515930 825488 877081 1031860 1754162 2063720 3508324 3766289 4127440 4385405 7016648 7532578 8770810 14033296 15065156 17541620 18831445 30130312 35083240 37662890 60260624 64026913 70166480 75325780 128053826 150651560 256107652 301303120 320134565 512215304 640269130 1024430608 1280538260 2561076520 5122153040