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2668437990 = 232597305663
BaseRepresentation
bin1001111100001101…
…0010000111100110
320212222010200202200
42133003102013212
520431110003430
61120441515330
7123061230411
oct23703220746
96788120680
102668437990
11114a299a59
126257a2b46
13336ab57ba
141b4578b78
151093ed460
hex9f0d21e6

2668437990 has 48 divisors (see below), whose sum is σ = 7009486848. Its totient is φ = 704245248.

The previous prime is 2668437979. The next prime is 2668437991. The reversal of 2668437990 is 997348662.

It is a happy number.

2668437990 is a `hidden beast` number, since 266 + 8 + 4 + 379 + 9 + 0 = 666.

2668437990 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×26684379902 = 14241122612950480200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2668437991) 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, 144102 + ... + 161561.

It is an arithmetic number, because the mean of its divisors is an integer number (146030976).

Almost surely, 22668437990 is an apocalyptic number.

2668437990 is an abundant number, since it is smaller than the sum of its proper divisors (4341048858).

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

2668437990 is a wasteful number, since it uses less digits than its factorization.

2668437990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305773 (or 305770 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 2668437990 is about 51656.9258667219. The cubic root of 2668437990 is about 1387.0295224935.

The spelling of 2668437990 in words is "two billion, six hundred sixty-eight million, four hundred thirty-seven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 291 485 582 873 970 1455 1746 2910 4365 8730 305663 611326 916989 1528315 1833978 2750967 3056630 4584945 5501934 9169890 13754835 27509670 29649311 59298622 88947933 148246555 177895866 266843799 296493110 444739665 533687598 889479330 1334218995 2668437990