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2678981067 = 337214232
BaseRepresentation
bin1001111110101110…
…0000000111001011
320220200222100011000
42133223200013023
520441304343232
61121455510043
7123246651300
oct23753400713
96820870130
102678981067
111155240144
12629228323
133390375c9
141b5b210a7
1510a2d227c
hex9fae01cb

2678981067 has 36 divisors (see below), whose sum is σ = 4620084840. Its totient is φ = 1529770536.

The previous prime is 2678981021. The next prime is 2678981093. The reversal of 2678981067 is 7601898762.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 2678981067 - 210 = 2678980043 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2678981867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1881918 + ... + 1883340.

It is an arithmetic number, because the mean of its divisors is an integer number (128335690).

Almost surely, 22678981067 is an apocalyptic number.

2678981067 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2678981067 is a deficient number, since it is larger than the sum of its proper divisors (1941103773).

2678981067 is an frugal number, since it uses more digits than its factorization.

2678981067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 2678981067 is about 51758.8742825808. The cubic root of 2678981067 is about 1388.8538534197.

The spelling of 2678981067 in words is "two billion, six hundred seventy-eight million, nine hundred eighty-one thousand, sixty-seven".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 1423 4269 9961 12807 29883 38421 69727 89649 209181 268947 627543 1882629 2024929 6074787 14174503 18224361 42523509 54673083 99221521 127570527 297664563 382711581 892993689 2678981067