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2680181296 = 241382715581
BaseRepresentation
bin1001111111000000…
…0101001000110000
320220210020022112221
42133300011020300
520442111300141
61121541330424
7123263110432
oct23760051060
96823208487
102680181296
11115598a971
12629706a14
133393679c0
141b5d54652
1510a46cbd1
hex9fc05230

2680181296 has 40 divisors (see below), whose sum is σ = 5599422864. Its totient is φ = 1235431680.

The previous prime is 2680181293. The next prime is 2680181311. The reversal of 2680181296 is 6921810862.

It is a happy number.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2680181293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164226 + ... + 179806.

Almost surely, 22680181296 is an apocalyptic number.

2680181296 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2680181296 is an abundant number, since it is smaller than the sum of its proper divisors (2919241568).

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

2680181296 is a wasteful number, since it uses less digits than its factorization.

2680181296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16429 (or 16423 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The square root of 2680181296 is about 51770.4674114499. The cubic root of 2680181296 is about 1389.0612324882.

The spelling of 2680181296 in words is "two billion, six hundred eighty million, one hundred eighty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 827 1654 3308 6616 10751 13232 15581 21502 31162 43004 62324 86008 124648 172016 202553 249296 405106 810212 1620424 3240848 12885487 25770974 51541948 103083896 167511331 206167792 335022662 670045324 1340090648 2680181296