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2668938112 = 272412359
BaseRepresentation
bin1001111100010100…
…1100001110000000
320220000002002210201
42133011030032000
520431222004422
61120500334544
7123065412451
oct23705141600
96800062721
102668938112
11114a600785
126259a4454
13336c2c329
141b4669128
1510949b727
hex9f14c380

2668938112 has 48 divisors (see below), whose sum is σ = 5354051400. Its totient is φ = 1325230080.

The previous prime is 2668938109. The next prime is 2668938127. The reversal of 2668938112 is 2118398662.

It is a super-2 number, since 2×26689381122 = 14246461291372249088, 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 (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7434189 + ... + 7434547.

Almost surely, 22668938112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2668938112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2677025700).

2668938112 is an abundant number, since it is smaller than the sum of its proper divisors (2685113288).

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

2668938112 is an frugal number, since it uses more digits than its factorization.

2668938112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 602 counting only the distinct ones).

The product of its digits is 248832, while the sum is 46.

The square root of 2668938112 is about 51661.7664428928. The cubic root of 2668938112 is about 1387.1161700190.

The spelling of 2668938112 in words is "two billion, six hundred sixty-eight million, nine hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 241 359 482 718 964 1436 1928 2872 3856 5744 7712 11488 15424 22976 30848 45952 58081 86519 116162 173038 232324 346076 464648 692152 929296 1384304 1858592 2768608 3717184 5537216 7434368 11074432 20851079 41702158 83404316 166808632 333617264 667234528 1334469056 2668938112