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2010116688 = 243103406577
BaseRepresentation
bin111011111001111…
…1111001001010000
312012002101111201020
41313303333021100
513104042213223
6531243435440
7100545465336
oct16763771120
95162344636
102010116688
11941727468
12481225b80
132605aa078
14150d6db56
15bb7101e3
hex77cff250

2010116688 has 40 divisors (see below), whose sum is σ = 5243229888. Its totient is φ = 663532032.

The previous prime is 2010116651. The next prime is 2010116729. The reversal of 2010116688 is 8866110102.

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 7 ways as a sum of consecutive naturals, for example, 198345 + ... + 208232.

Almost surely, 22010116688 is an apocalyptic number.

It is an amenable number.

2010116688 is an abundant number, since it is smaller than the sum of its proper divisors (3233113200).

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

2010116688 is a wasteful number, since it uses less digits than its factorization.

2010116688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406691 (or 406685 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 2010116688 is about 44834.3248861851. The cubic root of 2010116688 is about 1262.0418493543.

The spelling of 2010116688 in words is "two billion, ten million, one hundred sixteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 309 412 618 824 1236 1648 2472 4944 406577 813154 1219731 1626308 2439462 3252616 4878924 6505232 9757848 19515696 41877431 83754862 125632293 167509724 251264586 335019448 502529172 670038896 1005058344 2010116688