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5052120435 = 3251719973307
BaseRepresentation
bin1001011010010000…
…10011110101110011
3111001002110022100200
410231020103311303
540321320323220
62153152250243
7236124213045
oct45510236563
914032408320
105052120435
11216287694a
12b8bb40983
136268aa19b
1435cd8ba95
151e87ee890
hex12d213d73

5052120435 has 48 divisors (see below), whose sum is σ = 9279575136. Its totient is φ = 2533929984.

The previous prime is 5052120397. The next prime is 5052120533. The reversal of 5052120435 is 5340212505.

It is a happy number.

5052120435 is a `hidden beast` number, since 505 + 2 + 120 + 4 + 35 = 666.

It is not a de Polignac number, because 5052120435 - 26 = 5052120371 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5052120399 and 5052120408.

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 47 ways as a sum of consecutive naturals, for example, 1526052 + ... + 1529358.

It is an arithmetic number, because the mean of its divisors is an integer number (193324482).

Almost surely, 25052120435 is an apocalyptic number.

5052120435 is a deficient number, since it is larger than the sum of its proper divisors (4227454701).

5052120435 is a wasteful number, since it uses less digits than its factorization.

5052120435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5332 (or 5329 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 5052120435 is about 71078.2697805736. The cubic root of 5052120435 is about 1715.8970660134.

The spelling of 5052120435 in words is "five billion, fifty-two million, one hundred twenty thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 1997 3307 5991 9921 9985 16535 17973 29763 29955 33949 49605 56219 89865 101847 148815 168657 169745 281095 305541 505971 509235 843285 1527705 2529855 6604079 19812237 33020395 59436711 99061185 112269343 297183555 336808029 561346715 1010424087 1684040145 5052120435