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13006461116 = 22111797179261
BaseRepresentation
bin11000001110011111…
…01101100010111100
31020120102221200110002
430013033231202330
5203114123223431
65550341333432
7640212044465
oct140717554274
936512850402
1013006461116
115574898820
12262ba07278
1312c382484c
148b556bd6c
15511ccb3cb
hex3073ed8bc

13006461116 has 48 divisors (see below), whose sum is σ = 26562326112. Its totient is φ = 5506867200.

The previous prime is 13006461109. The next prime is 13006461151. The reversal of 13006461116 is 61116460031.

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 15 ways as a sum of consecutive naturals, for example, 17075 + ... + 162186.

It is an arithmetic number, because the mean of its divisors is an integer number (553381794).

Almost surely, 213006461116 is an apocalyptic number.

It is an amenable number.

13006461116 is an abundant number, since it is smaller than the sum of its proper divisors (13555864996).

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

13006461116 is a wasteful number, since it uses less digits than its factorization.

13006461116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179390 (or 179388 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 13006461116 in words is "thirteen billion, six million, four hundred sixty-one thousand, one hundred sixteen".

Divisors: 1 2 4 11 17 22 34 44 68 97 187 194 374 388 748 1067 1649 2134 3298 4268 6596 18139 36278 72556 179261 358522 717044 1971871 3047437 3943742 6094874 7887484 12189748 17388317 33521807 34776634 67043614 69553268 134087228 191271487 295601389 382542974 591202778 765085948 1182405556 3251615279 6503230558 13006461116