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5149504206 = 234711237529
BaseRepresentation
bin1001100101110111…
…10011001011001110
3111021212200220210000
410302323303023032
541021233113311
62210551425130
7241416030540
oct46273631316
914255626700
105149504206
112202840800
12bb86851a6
13640b15c12
1436bc9b690
15202139056
hex132ef32ce

5149504206 has 120 divisors (see below), whose sum is σ = 14495286960. Its totient is φ = 1337497920.

The previous prime is 5149504189. The next prime is 5149504229. The reversal of 5149504206 is 6024059415.

5149504206 is a `hidden beast` number, since 5 + 149 + 504 + 2 + 0 + 6 = 666.

It is a super-2 number, since 2×51495042062 = 53034787135223380872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 118450 + ... + 155978.

It is an arithmetic number, because the mean of its divisors is an integer number (120794058).

Almost surely, 25149504206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5149504206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7247643480).

5149504206 is an abundant number, since it is smaller than the sum of its proper divisors (9345782754).

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

5149504206 is a wasteful number, since it uses less digits than its factorization.

5149504206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37572 (or 37552 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5149504206 is about 71760.0460284133. The cubic root of 5149504206 is about 1726.8520841035.

The spelling of 5149504206 in words is "five billion, one hundred forty-nine million, five hundred four thousand, two hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 121 126 154 162 189 198 231 242 297 363 378 462 567 594 693 726 847 891 1089 1134 1386 1694 1782 2079 2178 2541 3267 4158 5082 6237 6534 7623 9801 12474 15246 19602 22869 37529 45738 68607 75058 112587 137214 225174 262703 337761 412819 525406 675522 788109 825638 1013283 1238457 1576218 2026566 2364327 2476914 2889733 3039849 3715371 4541009 4728654 5779466 6079698 7092981 7430742 8669199 9082018 11146113 13623027 14185962 17338398 21278943 22292226 26007597 27246054 31787063 33438339 40869081 42557886 52015194 63574126 66876678 78022791 81738162 95361189 122607243 156045582 190722378 234068373 245214486 286083567 367821729 468136746 572167134 735643458 858250701 1716501402 2574752103 5149504206