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5206188904 = 237677971741
BaseRepresentation
bin1001101100101000…
…00010001101101000
3111102211100210120021
410312110002031220
541130241021104
62220334410224
7243004606210
oct46624021550
914384323507
105206188904
112231837864
121013660974
1364c7a1b67
14375615240
152070d4754
hex136502368

5206188904 has 64 divisors (see below), whose sum is σ = 11343346560. Its totient is φ = 2193903360.

The previous prime is 5206188893. The next prime is 5206188907. The reversal of 5206188904 is 4098816025.

It is a happy number.

It is a super-3 number, since 3×52061889043 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (5206188907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2989474 + ... + 2991214.

It is an arithmetic number, because the mean of its divisors is an integer number (177239790).

Almost surely, 25206188904 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 5206188904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5671673280).

5206188904 is an abundant number, since it is smaller than the sum of its proper divisors (6137157656).

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

5206188904 is a wasteful number, since it uses less digits than its factorization.

5206188904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The square root of 5206188904 is about 72153.9250768799. The cubic root of 5206188904 is about 1733.1652549383.

The spelling of 5206188904 in words is "five billion, two hundred six million, one hundred eighty-eight thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 28 56 67 134 268 469 536 797 938 1594 1741 1876 3188 3482 3752 5579 6376 6964 11158 12187 13928 22316 24374 44632 48748 53399 97496 106798 116647 213596 233294 373793 427192 466588 747586 816529 933176 1387577 1495172 1633058 2775154 2990344 3266116 5550308 6532232 9713039 11100616 19426078 38852156 77704312 92967659 185935318 371870636 650773613 743741272 1301547226 2603094452 5206188904