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6130436536 = 237592417699
BaseRepresentation
bin1011011010110011…
…10000100110111000
3120211020111102222001
411231121300212320
5100023342432121
62452152310344
7304626564550
oct55531604670
916736442861
106130436536
112666520784
1212310a23b4
13769108153
14422284160
1525d300991
hex16d6709b8

6130436536 has 64 divisors (see below), whose sum is σ = 13416480000. Its totient is φ = 2571747840.

The previous prime is 6130436519. The next prime is 6130436539. The reversal of 6130436536 is 6356340316.

It is a junction number, because it is equal to n+sod(n) for n = 6130436495 and 6130436504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6130436539) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 792415 + ... + 800113.

It is an arithmetic number, because the mean of its divisors is an integer number (209632500).

Almost surely, 26130436536 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 6130436536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6708240000).

6130436536 is an abundant number, since it is smaller than the sum of its proper divisors (7286043464).

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

6130436536 is a wasteful number, since it uses less digits than its factorization.

6130436536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8012 (or 8008 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 37.

The square root of 6130436536 is about 78297.1042631846. The cubic root of 6130436536 is about 1830.1940268261.

The spelling of 6130436536 in words is "six billion, one hundred thirty million, four hundred thirty-six thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 56 59 118 236 241 413 472 482 826 964 1652 1687 1928 3304 3374 6748 7699 13496 14219 15398 28438 30796 53893 56876 61592 99533 107786 113752 199066 215572 398132 431144 454241 796264 908482 1816964 1855459 3179687 3633928 3710918 6359374 7421836 12718748 12988213 14843672 25437496 25976426 51952852 103905704 109472081 218944162 437888324 766304567 875776648 1532609134 3065218268 6130436536