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6778006740 = 2232537655593
BaseRepresentation
bin1100101000000000…
…00010110011010100
3122111101000102021200
412110000002303110
5102340132203430
63040324112500
7326652051411
oct62400026324
918441012250
106778006740
11296900a86a
121391b35730
1384031b19b
14484291108
1529a0b8460
hex194002cd4

6778006740 has 36 divisors (see below), whose sum is σ = 20559954324. Its totient is φ = 1807468416.

The previous prime is 6778006681. The next prime is 6778006751. The reversal of 6778006740 is 476008776.

It can be written as a sum of positive squares in 2 ways, for example, as 1936352016 + 4841654724 = 44004^2 + 69582^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18827617 + ... + 18827976.

Almost surely, 26778006740 is an apocalyptic number.

6778006740 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6778006740 is an abundant number, since it is smaller than the sum of its proper divisors (13781947584).

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

6778006740 is a wasteful number, since it uses less digits than its factorization.

6778006740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37655608 (or 37655603 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 6778006740 is about 82328.6507845234. The cubic root of 6778006740 is about 1892.4917667532.

The spelling of 6778006740 in words is "six billion, seven hundred seventy-eight million, six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 37655593 75311186 112966779 150622372 188277965 225933558 338900337 376555930 451867116 564833895 677800674 753111860 1129667790 1355601348 1694501685 2259335580 3389003370 6778006740