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2668970100 = 2235226473361
BaseRepresentation
bin1001111100010101…
…0100000001110100
320220000010201200110
42133011110001310
520431224020400
61120501143020
7123065604636
oct23705240164
96800121613
102668970100
11114a622815
126259baa70
13336c40a64
141b4676a56
151094a5e50
hex9f154074

2668970100 has 72 divisors (see below), whose sum is σ = 7727435968. Its totient is φ = 711244800.

The previous prime is 2668970077. The next prime is 2668970107. The reversal of 2668970100 is 10798662.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2668970107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 792420 + ... + 795780.

Almost surely, 22668970100 is an apocalyptic number.

2668970100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2668970100 is an abundant number, since it is smaller than the sum of its proper divisors (5058465868).

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

2668970100 is a wasteful number, since it uses less digits than its factorization.

2668970100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6025 (or 6018 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 2668970100 is about 51662.0760326180. The cubic root of 2668970100 is about 1387.1217116605.

The spelling of 2668970100 in words is "two billion, six hundred sixty-eight million, nine hundred seventy thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2647 3361 5294 6722 7941 10083 10588 13235 13444 15882 16805 20166 26470 31764 33610 39705 40332 50415 52940 66175 67220 79410 84025 100830 132350 158820 168050 198525 201660 252075 264700 336100 397050 504150 794100 1008300 8896567 17793134 26689701 35586268 44482835 53379402 88965670 106758804 133448505 177931340 222414175 266897010 444828350 533794020 667242525 889656700 1334485050 2668970100